Single-particle and collective motions from nuclear many-body correlation (PCM2025)

Asia/Tokyo
Main Lecture Hall (University of Aizu)

Main Lecture Hall

University of Aizu

90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
Nori Aoi (RCNP), Kouichi Hagino (Kyoto University), Michio Honma (University of Aizu), Eiji Ideguchi (RCNP), Nobu Imai (CNS), Masaaki Kimura (RIKEN Nishina Center), Takeshi Koike (Tohoku University), Takashi Nakamura (Tokyo Tech), Atsuko Odahara (University of Osaka), Daisuke Suzuki (RIKEN Nishina Center), Masayuki Yamagami (University of Aizu), Kenichi Yoshida (RCNP)
Description

 

 

The year 2025 marks the 50-year anniversary of the Nobel Prize in Physics in 1975 for Bohr, Mottelson and Rainwater to honor the discovery of the connection between single-particle motion and collective motion in atomic nuclei. How such simple and ordered dynamics can emerge in quantum systems that involve complex many-body correlations stays as one of the fundamental questions of nuclear physics. Today investigations of a wide spectrum of structures, responses to external fields or symmetries of nuclei are advancing at far edges of stability or at extreme conditions, which are made possible both with nuclear spectroscopy at various high-performance accelerator-based facilities of stable or radioactive isotopes and with theoretical efforts in understanding of nuclear forces and many-body problems aided by developments of large-scale computational techniques. The symposium aims to broadly bring experimental and theoretical experts to revisit the emergence of single-particle and collective motions in todays context of nuclear structure studies and discuss future perspectives toward deeper insight into the essence of nuclear structures.

This symposium honors the late Professor Ikuko Hamamoto (1936 - 2023), a preeminent theorist in the field of nuclear structures. This event is inspired by her distinguished research achievements and contributions. 

The symposium will take place at the University of Aizu, the same location that hosted the international symposium on frontiers of collective motions (CM2002) in 2002, convened upon her retirement. 

 

Topics

  • Structure of weakly-bound states and resonances
  • Shell structure at far edges of stability 
  • Giant and soft resonances 
  • Deformation and collective motion 
  • Quenching problems 
  • Clustering and correlations

The workshop will consist of invited and contributed talks on theories and experiments. A poster session is also planned. 

Abstract submission and registration
The abstract submission and registration forms are available on this website.

Important dates
November 10: Deadline for abdstracts of contributed talks 
January 31: Deadline for abstracts of poster presentations
January 31: Deadline for registration 
February 14: Deadline for online payment
March 4 - 7: Symposium

Support
We will support students and early-career researchers to encourage their participation. Domestic travel and local expenses will be fully or partially covered based on the availability of funds. The application form will be found in the online registration form.  

Hosted by
University of Aizu
RIKEN Nishina Center
Research Center for Nuclear Physics, Osaka University
Center for Nuclear Study, the University of Tokyo
Quark Nuclear Science Institute, the University of Tokyo

Supported by
Asian Nuclear Physics Association (ANPhA) 

Registration
Registration
    • Opening Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      • 1
        Welcome
        Speaker: Prof. Michio Honnma (University of Ai)
      • 2
        Opening
        Speakers: Daisuke Suzuki (RIKEN Nishina Center), Masayuki Yamagami (University of Aizu)
    • session #1 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Prof. Muhsin Harakeh
      • 3
        Single-particle states in odd nuclei and spin-isospin excitations
        Speaker: Prof. Gianluca Colò (University of Milan)
      • 4
        Study of Gamow-Teller giant resonances in unstable nuclei at RIBF

        The Gamow-Teller giant resonance is one of the most basic collective modes in nuclei and belongs to the spin-isospin (pion) channel. This mode has long been studied for stable nuclei to clarify a variety of nuclear properties such as the behavior of spin-isospin residual interactions, nuclear weak responses. Recently, with the advent of RI falicities worldwide, the study of GTR has been extended to a braod region of nuclear chart including unstable nuclei. In this talk, GTR studies performed at RIBF for 132Sn and 11Li, which are flagship nuclei in medium-heavy and light mass regions, respectively, will be presented.

        Speaker: Dr Masaki Sasano (RIKEN Nishina Center)
      • 5
        Quenching of Gamow-Teller and forbidden transition strength

        Gamow-Teller (GT) strengths in medium and heavy nuclei in the giant-resonance region are suppressed compared to the Ikeda sum rule [1,2]. GT strengths in low-lying states in sd-shell and pf-shell nuclei, for example, have also been found to be suppressed: the quenching factors for the axial-vector coupling, qA=gAeff/gAfree, are 0.77 and 0.74 for sd-shell [3] and pf-shell [4], respectively. The origin of the quenching of the GT strength can be attributed to the restriction of the configuration space and the contributions from two-body currents, for example, those from the coupling to non-nucleonic degrees of freedom such as Δ33 resonance [5]. The contributions from the two-body current were studied in the GT β-decay in selected sd-shell nuclei with the valence space in-medium renormalization group (VS-IMSRG) method [6] and their effects were found to be important in enhancing the quenching factor by 0.07.

        Here, we study the effects of extending the configuration space: pf-shell components are included to evaluate GT β-decay strengths in sd-shell nuclei. An effective interaction in the sd-pf shell obtained by the extended Kuo-Krenciglowa (EKK) method starting from chiral interactions is used [7,8]. The effective interaction proves to be successful in descriptions of the structure of the island of inversion [7]. It also reproduces the GT strength distribution in 40Ar in the sd2pf2 +sd4pf4 shell-model space with qA=1 [8]. The extension of the model space to the sd-pf shell, including up to 2p-2h excitations, in the study of the GT β-decay in the sd-shell is found to enhance the quenching factor by 0.05 compared to the conventional Hamiltonians in the sd-shell [9]. The effects of more than 2p-2h excitations are estimated by including second-order core polarization contributions [5,10].

        Next, we discuss the quenching of the strength in forbidden transitions. β-decay rates in the 208Pb region, including the waiting-point nuclei with N=126, are important for r-process nucleosynthesis. In this region of nuclei, there are considerable contributions from first-forbidden transitions. Large quenching in gA and gV (vector-coupling constant), or matrix elements of spin-dipole and Coulomb operators, in the first-forbidden transitions are found in the study of beta-decays in N=126 isotones [11,12], in nuclei in the south region of 208Pb [13], and in N=125 and 126 isotones [14].

        [1] C. Gaarde et al, Nucl. Phys. A 369, 258 (1981).
        [2] T. Wakasa, H. Sakai et al., Phys Rev C 55, 2909 (1991); K. Yako, H. Sakai et al., Phys. Lett. B 615, 193 (2005).
        [3] W. A. Richter, S. S. Mkhize and B. A. Brown, Phy. Rev. C 78, 064302 (2008).
        [4] G. Martinez-Pinedo, A. Poves, E. Caurier, and A. P. Zuker, PRC 53 (1996) R2602.
        [5] I. S. Towner, Physics Reports 155, 263 (1987).
        [6] P. Gysbers, G. Hagen, J. D. Holt et al., Nature Physics 15, 428 (2019).
        [7] N. Tsunoda, T. Otsuka, N. Shimizu, M. Hjorth-Jensen, K. Takayanagi and T. Suzuki, Phys. Rev. C 95, 021304 (2020); N. Tsunoda, T. Otsuka, K. Takayanagi, N. Shimizu, T. Suzuki, Y. Utsuno, S. Yoshida, H. Ueno, Nature 587, 66 (2020).
        [8] T. Suzuki and N. Shimizu, Phys. Rev. C 108, 014611 (2023).
        [9] T. Suzuki and N. Shimizu, Frontiers in Physics 12, 1434598 (2024).
        [10] K. Shimizu, M. Ichimura and A. Arima, Nucl. Phys. A226, 282 (1974).
        [11] T. Suzuki, T. Yoshida, T. Kajino, and T. Otsuka, Phys. Rev. C 85, 015802 (2012); T. Suzuki, S. Shibagaki, T. Yoshida, T. Kajino and T. Otsuka, The Astrophys. J. 859, 133 (2018).
        [12] Q. Zhi et al, Phys. Rev. C 87, 025803 (2013).
        [13] S. Sharma, P. C. Srivastava, A. Kumar, T. Suzuki, C. Yuan, and N. Shimizu, Phys. Rev. C 110, 024320 (2024).
        [14] A. Kumar, N. Shimizu, Y. Utsuno, C. Yuan, and P. Srivastava, Phys. Rev. C 109, 064319 (2024),

        Speaker: Toshio Suzuki (Nihon University)
      • 6
        Theoretical study of the Isovector Monopole Resonance

        Motivated by the experimental and theoretical interest on the Isovector Monopole Resonance, I will present a theoretical study of the charge-exchange and non-charge exchange Isovector Monopole Resonances in 48Ca, 90Zr and 208Pb calculated within the RPA approach. I will focus on their excitation energy and sum rules and discuss the possibility to relate them with the ground state properties of the same nucleus and with the nuclear matter incompressibility.

        Speaker: Javier Roca Maza (University of Barcelona and University of Milan)
    • 11:35
      Lunch Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • Session #2 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Prof. Wolfgang Mittig (FRIB/MSU)
      • 7
        Alpha clusters in nuclear surface
        Speaker: Prof. Junki Tanaka (RCNP Osaka University)
      • 8
        Superfluid phonon in inner crust of neutron stars

        Inner crust of neutron stars, which consists of lattice of neutron-rich nuclei immersed in dilute neutron superfluid, may exhibits distinct low-lying excitations. Collective oscillation of displacement motion of nuclei leads to the lattice phonon while another phonon excitation is also possible in neutron superfluid, known as the superfluid phonon or the Anderson-Bogoliubov mode. The superfluid phonon has attracted attention in connection with the astrophysical issues such as the colling of inner crust in the magnetar and the quasi-periodic oscillation after the X-ray burst, etc[1,2]. The two kinds of phonon may couple to each other, and this coupling influences the matter property such as the heat conductivity and the phonon dispersion relation.

        We study the superfluid phonon and its coupling to the nuclear lattice using the Skyrme-Hartree-Fock-Bogoliubov model (HFB) and the quasiparticle random phase approximation (QRPA), in which all the nucleon degrees (of both nuclei and neutron superfluid) are treated on an equal footing. Numerical calculations are performed using a Wigner-Seitz approximation (describing a single spherical cell with a large radius) and the standard Skyrme and pairing parameters. We found that the superfluid phonon mode appears as the lowest energy excitation modes of the QRPA solutions. The superfluid phonon interacts with the nucleus in such a way that it does not penetrate into the nucleus[3].

        The HFB+QRPA results can be utilized to evaluate the macroscopic properties such as the thermal conductivity. For this purpose, we introduce an equivalent boson model in which the neutron superfluid is represented by a Bose-Einstein condensate interacting with the nuclear lattice. We will discuss the implication of the HFB+QRPA results in terms of this boson model. We found that the coupling between the superfluid phonon and the nuclear motion is much weaker than an estimate assuming a non-interacting superfluid phonon. It implies a large thermal conductivity.
        [1] D. N. Aguilera et al., Phys. Rev. Lett. 102, 91101 (2009).
        [2] N. Chamel et al., Phys. Rev. C 87, 035803 (2013).
        [2] T. Inakura and M. Matsuo, Phys. Rev. C 96, 025806 (2017).

        Speaker: Masayuki Matsuo
      • 9
        Measurement of Interaction Cross Sections through the TRIP-S3CAN Project at RIKEN RIBF

        The nuclear matter radius is one of the fundamental physical quantities, and the interaction cross section measurement is a method used to deduce this radius. Measurement of interaction cross sections using the transmission method achieves an accuracy of 0.5% with statistics from only 10^5 to 10^6 particles, owing to the large cross section and the ability to use thick targets. This corresponds to a nuclear radius determination accuracy of approximately 0.01–0.03 fm. The ability to determine radii with relatively high precision from a limited number of events makes this method applicable to unstable nuclei far from the stability line, enabling simultaneous measurement of over a dozen nuclei within a single cocktail beam. To extend these measurements to a broad range of nuclei, the S3CAN (Symbiotic Systematic and Simultaneous Cross-section Measurements for All over the Nuclear Chart) experiments have been launched.
        In the 2024 fiscal year, we successfully measured the interaction cross sections of approximately 150 nuclides within 48 hours as part of this project. While each result will be detailed in poster presentations by the co-authors, this presentation will provide an overview of the experimental methodology for cross-section measurements, recent progress, and future plans.

        Speaker: Daiki Nishimura (Tokyo City Univercity)
    • 14:10
      coffee break Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • Session #3 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Prof. Peter Ring
      • 10
        Nuclear collective excitation based on the finite-amplitude method for the quasiparticle random-phase approximation

        Nuclear collective excitation such as giant resonances provides valuable information on understanding the structure of finite nuclei and the equation of state for infinite nuclear matter. The quasiparticle random-phase approximation (QRPA) is a suitable theoretical framework that is capable of describing collective excitation as a superposition of the two-quasiparticle excitation, but it requires a large-dimensional matrix diagonalization and large computational resources.
        The finite-amplitude method (FAM) [1] has been proposed as a solution of the QRPA problem under the presence of a one-body external field. The FAM is an iterative approach that makes is possible to calculate the strength distribution function of giant resonance without additional truncation in the two-quasiparticle model space. Combined with a contour integration technique in the complex-energy plane for the applied frequency of the external field, discrete low-energy collective states as well as the sum-rule values can be obtained [2,3]. The formulation based on the contour integration enables us to compute various types of the QRPA solutions, such as the low-energy collective modes, beta-decay rates, zero-energy pairing rotational modes, sum rules, and the nuclear matrix elements of the double-beta decay. I will review the recent progress and applications of the FAM for various problems including very recent extensions for further reduction of the computational costs based on the reduced basis method [3].
        [1] T. Nakatsukasa, T. Inakura, and K. Yabana, Phys. Rev. C 76, 024318 (2007).
        [2] N. Hinohara, M. Kortelainen, and W. Nazarewicz, Phys. Rev. C 87, 064309 (2013).
        [3] C. Drischler, J. A. Melendez, R. J. Furhnstahl, A. J. Garcia, and X. Zhang, Front. Phys. 10, 1092931 (2023).

        Speaker: Nobuo Hinohara (University of Tsukuba)
      • 11
        PARTICLE-VIBRATION COUPLING AND PAIRING CORRELATIONS

        I will present results concerning the effects of particle-vibration coupling (PVC),
        a topic to which Ikuko Hamamoto gave fundamental contributions.

        I will discuss how to determine the PVC strength, in particular through
        the study of multiplet splittings.
        I will then present quantitative microscopic calculations of the
        strength function associated with pairing modes in A+2 nuclei
        going beyond the RPA by including the coupling to collective excitations of
        closed shell A core, including continuum effects. The formalism accounts both
        for single-particle self-energy effects and for the pairing interaction
        induced by phonon exchange. Such studies are relevant for the experimental searches of
        collective high-lying pairing vibration, whose existence was predicted
        but not yet experimentally confirmed.

        Speaker: Dr Enrico Vigezzi
      • 12
        Generator coordinate method with basis optimization

        The generator coordinate method (GCM) has been a well-known method to describe nuclear collective motions [1]. In GCM, one a priori specifies collective degrees of freedom (collective coordinates), such as nuclear deformations, and superposes many Slater determinants (SDs) within the selected collective subspace. However, there always exists arbitrariness in this approach in the choice of collective coordinates, for which one has to rely on empirical and phenomenological assumption. With such choice, it is not trivial whether the collective motion of interest can be optimally described (See e.g., [2-3]). Therefore, a description of the collective motion without pre-set collective coordinates is desirable in order not to miss important degrees of freedom.
        In this contribution, we present a new extension of GCM in which both the basis SDs and the weight functions are optimized according to the variational principle [4]. With such simultaneous optimization of the basis states, one does not have to specify beforehand the relevant collective degrees of freedom covered by the set of basis SDs. In this presentation, we will show results for sd- shell nuclei with the Skyrme energy functional. We will show that the optimized bases correspond to excited states along a collective path, unlike the conventional GCM which superposes only the local ground states. This implies that a collective coordinate for large amplitude collective motions is determined in a much more complex way than what has been assumed so far.

        [1] P. Ring and P. Schuck, The Nuclear Many-Body Problem (Springer, 1980).
        [2] N. Hizawa, K. Hagino and K. Yoshida, Phys. Rev. C 103, 034313 (2021).
        [3] N. Hizawa, K. Hagino and K. Yoshida, Phys. Rev. C 105, 064302 (2022).
        [4] M. Matsumoto, Y. Tanimura and K. Hagino, Phys. Rev. C 108, L051302 (2023).

        Speaker: Moemi Matsumoto (Tohoku University)
    • 15:45
      coffee break Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • Session #4 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Prof. Jie Chen
      • 13
        Nuclear magnetic properties from first principles

        Nuclear magnetic properties provide valuable insights into nuclear structure. In particular, the magnetic dipole moment is sensitive to how much the nucleus is dominated by the single-particle picture. Reproducing magnetic dipole moments has been one of the major challenges in nuclear ab initio theory. With the valence-space in-medium similarity renormalization group (VS-IMSRG), one of the ab initio calculation methods applicable for medium-mass and heavy nuclei, it was found that the absolute size of the magnetic dipole moments is underestimated. The effect of two-body current (2BC, also known as the meson exchange current) is non-negligible in light nuclei, as studied by Green's function Monte Carlo and no-core shell model. Thus, including 2BC effects in medium-mass and heavy nuclei calculations is a natural step forward. In this presentation, using the VS-IMSRG, I will discuss the 2BC effect on the magnetic dipole moments of nuclei near doubly magic systems from oxygen to bismuth. Additionally, I will present the effects of 2BC on magnetic transitions and form factors.

        Speaker: Takayuki Miyagi (University of Tsukuba)
      • 14
        Neutron-rich nuclear moment studies using spin-oriented RI beams

        The magnetic dipole moment and the electric quadrupole moment are the nuclear moments that provide us with key information about the proton and neutron configurations in a nucleus and the shape of a nucleus, respectively. In the study of nuclear structure through the measurement of the nuclear moments, a technique to produce spin orientation of RI beams has played important roles. In the precision nuclear spectroscopy of the nuclear moments of unstable nuclei, because the motion of their spins can be monitored using anisotropy of radiation from the spin-oriented unstable nuclei, techniques to produce spin orientation of RI beams have played important roles. Recently, a scheme of the two-step projectile fragmentation was developed to produce high spin alignment in RI beams and was applied to the frontier of the study for nuclear structure of neutron-rich nuclei, such as 75Cu and 99Zr. In this presentation, recent activities of the nuclear-moment measurements using highly spin-aligned beams at RIKEN RIBF will be reviewed, and future perspectives of nuclear-moment measurements will be discussed.

        Speaker: Yuichi Ichikawa (Kyushu University)
      • 15
        Quadrupole collectivity in low-lying states in neutron-rich N=40 nuclei

        Recent spectroscopic measurements in neutron-rich N=40 nuclei towards 60Ca give an insight into shell structure in this region [1]. Large-scale shell model calculations [2] predicted a sizable collectivity in 60Ca and the island of inversion extended to 60Ca.
        In this contribution, we will present the results of low-lying states in N=40 nuclei by employing the five-dimensional collective Hamiltonian (5DCH) method based on the Skyrme energy density functional. The 5DCH method explicitly treats quadupole degrees of freedom for rotation and vibration. We use the local quasiparticle random phase approximation to include important dynamical correlations to the inertial functions in the kinetic energies that have been ignored in most of the previous related works [3]. The present calculation reproduces the experimental 21+ energy and B(E2;21+01+) values. In particular, we discuss the property of the low-lying excited 0+ state and low R0/2=E(02+)/E(21+) ratio obtained in 60Ca.
        [1] M. L. Cortes et al., Phys. Lett. B 800, 135071 (2020).
        [2] S. M. Lenzi, F. Nowacki, A. Poves, and K. Sieja, Phys. Rev. C 82, 054301 (2010).
        [3] K. Washiyama, N. Hinohara, and T. Nakatsukasa, Phys. Rev. C 109, L051301 (2024).

        Speaker: Kouhei Washiyama (University of Tsukuba)
      • 16
        Exotic structures in N~20 neutron-rich nuclei investigated by spin-polarized β-γ spectroscopy

        One of the long-standing subjects of nuclear physics is the exotic structure of nuclei located far from the β-stability line. Particularly, neutron-rich nuclei around N20 have been attracting significant attention, and intensive experimental and theoretical studies have been performed to reveal their nuclear structures. Various structures have been predicted, as a result of the competition between the mean field, favoring spherical shape and the nuclear correlations, causing deformation, for the excited states as well as the ground states, such as shell evolution, shape coexistence and so on. To experimentally clarify these exotic structures should provide valuable insights into the isospin dependence of nuclear interactions in the neutron-rich region. However, up to now, experimental information on the excited states has been very limited. We have developed a unique method of β-decay spectroscopy with spin-polarized nuclei, enabling experimental spin-parity assignments of the excited states. The experimental spin-parity assignments enabled level-by-level comparisons between the experimental and theoretical levels.
        So far, we have successfully applied this method to the N=20 island-of-inversion nuclei, 28,29,30,31Mg and 31,33Al isotopes, to investigate the variation of the structure as a function of neutron number. In Mg isotopes, our results not only demonstrated structural changes as a function of neutron number but also revealed the coexistence of various types of structures in a narrow excitation energy region, i.e., the shape coexistence of such as spherical and prolately-deformed states, a γ-vibrational band, and a candidate state for scissors mode.
        In this presentation, the experimental methods and the structures of Mg and Al isotopes will be discussed.

        Speaker: Hiroki Nishibata (Kyushu University)
    • session #5 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Hiro Iwasaki (FRIB/MSU)
      • 17
        The emergence of nuclear collective excitations- puzzles and new insights
        Speaker: Prof. Bo Cederwall (KTH Royal Institute of Technology)
      • 18
        Quasi-Particle Structure and Collective Properties of Transfermium Nuclei

        The study of the heaviest elements remains a compelling scientific endeavor. By investigation of nuclei in the trans-fermium region, we can learn about the quasi-particle structure, pairing correlations, and excitation modes in these nuclei. Berkeley Lab scientists have led several recent experiments to study the excited level structure of nuclei in this region through prompt and delayed gamma-ray spectroscopy including, notably, the odd-Z nuclei 249,251Md (Z=101). The latest results and findings from these spectroscopic studies will be discussed.

        While such studies of the quasi-particle structure are vital to understanding the stability of the heaviest elements, the question remains as to how far we can push investigations of the heaviest nuclei. Experiments have been carried out at the 88-Inch Cyclotron using the Berkeley Gas-filled Separator (BGS) to investigate this issue. The very latest progress of studies aimed at creation of superheavy elements (Z>103) using 50Ti-induced fusion-evaporation reactions will be highlighted.

        This work is supported, in part, by the US DoE under contract number DE-AC02-05CH11231.

        Speaker: Roderick Clark (Berkeley Lab)
      • 19
        In-gas-cell laser ionization spectroscopy of the nuclei in the vicinity of N=126 at KISS

        We have developed the KEK Isotope Separation System (KISS) [1] at RIKEN to study the nuclear structure of the nuclei in the vicinity of neutron magic number N= 126 from the astrophysical interest. These neutron-rich nuclei have been produced by using multinucleon transfer reactions [2] with the combinations of the low-energy 136Xe beam and the production targets of W, Ir, and Pt.
        At the KISS facility, radioisotopes are ionized by applying in-gas-cell laser ionization technique. In the ionization process, we can perform laser ionization spectroscopy of the refractory elements with the atomic number Z= 70-78 such as Hf, Ta, W, Re, Os, Ir, and Pt, which can not be performed in other facilities. Laser spectroscopy can be used to effectively investigate the nuclear structure through the measured magnetic moments, isotope shifts (IS), changes in the mean-square charge radii, and quadrupole deformation parameters. We have performed in-gas-cell laser ionization spectroscopy of 199g,199m,200,201Pt [3], 196,197,198Ir [4], 194,196Os [5], and 191,192Re produced at KISS.
        In this conference, we will report the recent results of laser ionization spectroscopy, and the perspective of future plan at KISS.

        References
        [1] Y. Hirayama et al., Nucl. Inst. Meth. B353, 4 (2015), and B412, 11 (2017).
        [2] Y.X. Watanabe et al., Phys. Rev. Lett. 172503, 1 (2015).
        [3] Y. Hirayama et al., Phys. Rev. C 96, 014307 (2017), and 106, 034326 (2022).
        [4] M. Mukai et al., Phys. Rev. C 102, 054307 (2020).
        [5] H. Choi et al., Phys. Rev. C 102, 034309 (2020).

        Speaker: Yoshikazu HIRAYAMA (WNSC, IPNS, KEK)
    • 10:35
      coffee break Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • session #6 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Nori Aoi (RCNP)
      • 20
        Study of 12Be from the single-particle and collective perspective
        Speaker: Prof. Jie Chen (Sus tech)
      • 21
        Shape transition and proton intruder state of 13B via helium induced proton-transfer reaction

        Intruder orbitals in the shell structure play important roles in the existence and disappearance of the magic numbers and the nuclear shape. Magicity loss of N=8 in light beryllium nuclei is one of the attractive subject from this viewpoint.
        The 12Be has low-lying 0+ isomeric state at 2.2~MeV due to the narrow gap at N=8 caused by the intruder orbital from sd-shell[1] and its ground state is largely deformed[2]. As the origin of the narrow gap at N=8, the effect of the monopole interaction[3], the deformation[2], and the weakly bound nature[4] were suggested but there relationship was not clear. The neighboring nucleus 13 has one more proton and its ground state is spherical shape. Adding one proton to 12Be causes drastic change of the ground state structure. But the excitation structure of 13B was not known well since the spin-parity of the excited states was not determined. Considering the proton orbitals in 13B, binding energy is large enough and the counter orbital of the neutrons for the monopole interaction is fully occupied. However, the deformation of the matter shape can still have effect on the structure if it exists. To reveal the effect of one proton addition to the deformed nucleus, proton single particle excitation in 13B was studied via the helium induced proton transfer reaction on 12Be[5].

        The experiment was performed at RIPS course of the former RIBF, the RARF, in RIKEN. The high intensity (200~kcps) 12Be beam was produced as the fragmentation of the projectile of 18O primary beam and separated by using RIPS. The direction and arrival timing of the 12Be was measured by using two delay-line readout parallel plate avalanche counters and plastic scintillator located upstream of the secondary target. The 12Be beam bombarded the secondary target of liquid helium surrounded by the position sensitive gamma-ray detector array, the GRAPE. The beam-like outgoing particle of 13B was detected and identified by using plastic scintillator hodoscope, which is also the position sensitive. The 13B was identified event-by-event basis via TOF-dE-E method. The excited state of 13B was identified via the gamma-ray spectroscopy after the doppler correction and the scattering angle was deduced from the incident direction of the 12Be and the outgoing direction of 13B.

        The de-excitation gamma ray from the 4.8-MeV excited state is clearly observed. The spin-parity of this state is assigned as 1/2+ from the DWBA analysis of the angular distribution of the differential cross section, which has forward peak corresponding to the transfer angular momentum of zero. Since the ground state of the 13B has the spin-parity of 3/2 and the energy of 1/2+ state seems smaller than the normal shell gap at Z=8, the 4.8-MeV 1/2+ state is concluded to be the low-lying proton intruder state. The existence of the proton intruder state is explained by the Nilsson orbit in deformed 12Be nucleus assuming the one-body potential is equally deformed for protons and neutrons. This indicates that the one proton excitation in the spherical nucleus causes the phase transition to the deformed nucleus dynamically.

        In this paper, we discuss dynamical shape transition in 13B relating to the magicity loss of 12Be.

        References
        1. S. Shimoura, S. Ota {\it et al.}, Phys. Lett. B 654 (2007) 87-91
        2. I Hamamoto and S Shimoura 2007 J. Phys. G: Nucl. Part. Phys. 34 (2007) 2715
        3. Toshio Suzuki and Takaharu Otsuka, Phys. Rev. C 78 (2008) 061301(R)
        4. I. Hamamoto, Nucl. Phys. A (2004) 211-223
        5. S. Ota {\it et al.} Phys. Lett. B 666 (2008) 311

        Speaker: Prof. Shinsuke OTA (RCNP, Osaka University)
      • 22
        Semiclassical origin of nuclear exotic deformations and their systematics

        The shapes of nuclei are essentially determined by the single-particle shell structures. Semiclassical periodic orbit theory (POT) gives us a very powerful tool in describing the origin of gross shell structures and their properties. The POT formula expresses the quantum level density in terms of the contributions of classical periodic orbits (POs). The major gross shell structure is governed by the shortest PO, and finer structures are reproduced as the interference effect by superposing the contributions of longer POs. In this talk, I will discuss the origin of the systematics in nuclear octupole and hexadecapole deformations. The breaking of reflection symmetry is one of the most important topics in nuclear structure physics. It is suggested experimentally and theoretically that the ground-state octupole deformation exclusively appear around the 'north-east' neighbors of doubly magic nuclei on the nuclear chart. This systematics has been long attributed to the octupole correlations between nearly-degenerate Δl=3 levels above the fermi energy, but I would like to emphasize the significance of the role of gross shell structure originated from a particular PO family and its bifurcation. To clarify the essential feature, numerical analyses are carried out with the simple mean-field models. The hexadecapole shape degree of freedom also play important roles in stabilizing nuclei. It is suggested that on the way varying nucleon numbers from a spherical magic to the upper magic one, diamond-type hexadecapole shapes (with β4>0) appear first and then turn into oblong-types (with β4<0). This simple systematics found in realistic mean-field models are also reproduced in simpler mean-field models as cavity and oscillator. I will show that the origin of such systematics can be explained in a simple manner using the POT in relation to the dynamical symmetry restorations.

        Speaker: Kenichiro Arita (Nagoya Institute of Technology)
    • 12:10
      Lunch Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • session #7 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Prof. Marek Płoszajczak
      • 23
        Single-Neutron Excitations Outside of 132Sn and the Fate of Spin-Orbit Partners in Weakly Bound Systems

        Recent works using direct reactions and the solenoidal-spectrometer technique have revealed insights into the single-particle structure of weakly bound nuclei. Using CERN’s HIE-ISOLDE facility and the ISOLDE Solenoidal Spectrometer, the single-neutron strengths and energies of the 1f7/2, 2p3/2, 2p1/2, 0h9/2, 1f5/2, and 0i13/2 valence neutron orbitals outside of doubly magic 132Sn have been determined via the 132Sn(d,p)133Sn reaction at 7.65 MeV per nucleon. The results suggest that the single-neutron strength for each orbital is carried in a single excitation, affirming the notion that 132Sn, the heaviest short-lived doubly magic nucleus, exhibits one of the strongest shell closures of all nuclei. These data and other data for weakly bound N20 and 28 nuclei have revealed a decrease in the separation of spin-orbit partners in line with the predictions of the late Professor Hamamoto's work. I attempt to show this reduction in a systematic way using experimental data.

        This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, under Contract Number DE-AC02-06CH11357.

        Speaker: Benjamin P. Kay (Physics Division, Argonne National Laboratory)
      • 24
        Pseudo-spin symmetry and tensor force

        As representing the shell structure in certain regions, the pseudo-spin symmetry (PSS) has been found helpful in describing some characteristic structures of nuclei. In short, the PSS is the near degeneracy of single-particle (s.p.) orbitals with Δj=1 and Δ=2. It has been argued since the late 1990s that the PSS is a relativistic symmetry, as the s.p. orbitals have equal orbital angular momentum in the lower component of the Dirac spinor. In addition to the spherical nuclei, the PSS was extended to rotational nuclei by Bohr, Hamamoto and Mottelson (Phys. Scr. 26, 267).

        The tensor force has been pointed out to give rise to proton- (Z) and neutron-number (N) dependence of the shell structure. This Z- and N-dependence of the shell structure should be relevant to the PSS. We discuss how the tensor force affects the PSS, with particular interest in the variation due to the occupation of specific orbits. The spherical Hartree-Fock calculations are applied, and the s.p. energy spacings between the PSS partners are compared among effective interactions (or energy-density functionals) with and without the tensor force. In many cases, the tensor-force effects on the PSS look analogous to the Z-and N-dependence of the PSS in the relativistic mean-field (RMF) calculations without explicit tensor force. A qualitative difference is found in the variation of the p0d3/2-p1s1/2 levels from 40Ca to 34Si. The experimental data is consistent with the tensor-force-driven Z-dependence of the PSS but not necessarily with the RMF result.

        (Based on the paper to appear in Phys. Rev. C, available as arXiv:2407.05524.)

        Speaker: Hitoshi Nakada (Chiba University)
      • 25
        Evolutions from 1p-1h to 2p-2h states studied within Second Random-Phase Approximation

        We would like to present the effect of including two-particle two-hole (2p-2h) states in nuclear resonances. Configuration spaces of 2p-2h are known to be important to describe a spreading width of nuclear resonances. Recently, our group pointed out that its effect is also important to reproduce high-energy particle emission rates. To understand this phenomena comprehensively, it is necessary to study the evolution from one-particle one-hole states to 2p-2h states. Some of new insight obtained by our recent investigation will be discussed in this talk.

        Speaker: Futoshi Minato (Kyushu University)
      • 26
        Study of multi-neutron emission process through beta-neutron-gamma spectroscopy of N>50 Gallium isotopes

        Beta-delayed neutron emission occurs in neutron-rich nuclei where the decay energy window is large enough to populate states above the neutron separation energy in the daughter nucleus. Multi-neutron emission is expected to be the dominant decay mode for the nuclides far from stability, along the astrophysical r-process path. The number of neutrons emitted after 𝛽-decays affects the final isobaric abundance pattern after the r-process by providing neutrons for the late-time capture process and changing the decay path back to stability. Therefore, understanding the neutron emission process is crucial for astrophysical r-process abundance calculations.
        A comprehensive 𝛽-delayed neutron-𝛾 spectroscopy on the decay of gallium isotopes (A=84 to 87) was conducted at RI beam Factory, RIKEN Nishina Center. The isotopes were examined using a high efficiency array of 3He neutron counters (BRIKEN) [1] and two clover-type HPGe detectors, enabling 𝛽-2n-𝛾 coincidence measurements of the excited states of two-neutron daughter nuclei. Previously, we found large one-neutron emission probability (P1n) values and unexpectedly small P2n values, even the major part of the B(GT) is expected to be concentrated above two-neutron separation energy for those Ga isotopes. This was interpreted as a signature of one-neutron emission from two-neutron unbound states. This result raised the necessity of modeling the competition between multi-neutron emission channels [2].
        Hauser-Feshbach statistical model calculations [3] showed that the P1n and P2n ratios and the 𝛾 branching ratios are sensitive to the nuclear level density of one-neutron daughter nuclei. The statistical model calculation was optimized using experimental and shell-model level densities in the daughter nuclei, thereby improving the reproduction of the P2n/P1n ratio. Given that neutron emissions significantly influence the final abundance pattern of r-process nucleosynthesis, these results underscore the importance of understanding level densities and the detailed decay scheme, which could be achieved by neutron spectroscopy data for multi-neutron emitters.
        This work was published as Ref. [4].
        This work is supported in part by the Office of Nuclear Physics, U.S. Department of Energy under Award No. DE-FG02-96ER40983 (UTK) and DE-AC05-000R22725 (ORNL).
        References
        [1] A. Tolosa-Delgado et al., NIM A 925,133 (2019)
        [2] R. Yokoyama et al., Phys. Rev. C 100, 031302(R) (2019)
        [3] T. Kawano et al., Phys. Rev. C 78, 054601 (2008)
        [4] R. Yokoyama et al., Phys. Rev. C 108 064307 (2023)

        Speaker: Rin Yokoyama
    • Poster session Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      • 27
        Isospin symmetry breaking energy density functional based on quantum chromodynamics

        The isospin symmetry of atomic nuclei is broken due to the Coulomb interaction and the isospin symmetry breaking part of the nuclear interaction. The former gives the dominant contribution to the isospin symmetry breaking of atomic nuclei, and the latter is a small part of the whole; however, it sometimes gives important contributions to nuclear properties, such as the mass difference of mirror nuclei and the isobaric analog states [1, 2]. Especially, it has been a long-standing problem that the Coulomb interaction is not enough to describe the mass difference of mirror nuclei, which is known as the Okamoto-Nolen-Schiffer anomaly [3, 4]. It also contributes to the slope parameter of the symmetry energy, which is known as the L parameter, affecting the neutron-skin thickness non-negligibly [2]. The isospin symmetry breaking can be classified into two parts: the charge symmetry breaking and the charge independence breaking.
        Recently, we pinned down the effective interaction, i.e., the energy density functional, of charge symmetry breaking interaction using the effective mass in medium of nucleons calculated based on the quantum chromodynamics sum rule [5]. We also estimated the energy density functional of the charge independence breaking based on the quantum electrody- namics effects in the one-pion exchange potential [6], where we can, in principle, consider the effective mass of pions in medium.
        In this talk, I will report our recent progress on the derivation of the isospin symmetry breaking energy density functional based on quantum chromodynamics.

        Reference
        [1] X. Roca-Maza, G. Colò, and H. Sagawa. “Nuclear Symmetry Energy and the Breaking of the Isospin Symmetry: How Do They Reconcile with Each Other?” Phys. Rev. Lett. 120, 202501 (2018).
        [2] T. Naito, G. Colò, H. Liang, X. Roca-Maza, and H. Sagawa. “Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness”, Phys. Rev. C 107, 064302 (2023).
        [3] K. Okamoto. “Coulomb energy of He3 and possible charge asymmetry of nuclear forces”, Phys. Lett. 11, 150 (1964).
        [4] J. A. Nolen, Jr. and J. P. Schiffer. “Coulomb energies”, Annu. Rev. Nucl. Sci. 19, 471 (1969).
        [5] H. Sagawa, T. Naito, X. Roca-Maza, and T. Hatsuda. “QCD-based charge symmetry breaking interaction and the Okamoto-Nolen-Schiffer anomaly”, Phys. Rev. C 109, L011302 (2024).
        [6] T. Naito, G. Colò, T. Hatsuda, X. Roca-Maza, and H. Sagawa. To be submitted.

        Speaker: Dr Tomoya Naito (RIKEN iTHEMS)
      • 28
        The l-forbidden M1 transitions of chlorine isotopes around N = 28 shell closure

        The effect of meson exchange current in nuclei is studied via l-forbidden M1 transitions. The M1 transitions are caused by the single-particle-like transition of valence nucleons, the core excitation, and the meson exchange current. In the l-allowed M1 transition, the single-particle-like transition and the core excitation are the dominant effects and the meson exchange current is very small. On the other hand, in the l-forbidden M1 transition, the meson exchange current measurably affects the transition strengths. Therefore, information about the meson exchange current is extracted from the l-forbidden M1 transition strengths. To measure the l-forbidden M1 transition strengths, we carried out the in-beam gamma-ray spectroscopy experiments of chlorine isotopes at RCNP (CAGRA campaign) and RIBF (HiCARI campaign). The l-forbidden M1 transition strengths were obtained from the transition lifetimes measured by the waveform analysis method with Ge detectors. In this presentation, we will report the analysis results of experiments and the contribution of the meson exchange current in the l-forbidden M1 transition strengths.

        Speaker: yasutaka yamamoto
      • 29
        Microscopic study of M1 resonances in Sn isotopes

        The magnetic dipole (M1) resonances of even-even 112–120,124Sn isotopes are investigated in the framework of the self-consistent Skyrme Hartree-Fock + Bardeen-Cooper-Schrieffer (HF+BCS) and quasiparticle random phase approximation (QRPA). The Skyrme energy density functionals SLy5 and T11 with and without tensor terms are adopted in our calculations. The mixed type pairing interaction is used to take care of the pairing effect for open-shell nuclei both in the ground and excited states calculations. The calculated magnetic dipole strengths are compared with available experimental data. The QRPA results calculated by SLy5 and T11 with tensor force show a better agreement with the experimental data than those without the tensor force. By analyzing the HF and QRPA strength distributions of 112Sn and 124Sn, we discuss the effect of tensor force on the M1 resonances in detail. It is found that the M1 resonance is sensitive to the tensor interaction, and favors especially a negative triplet-odd tensor one. Depending on the nucleus, a quenching factor of the M1 operator of about 0.71–0.95 is needed to reproduce the total observed transition strength. In our calculations, we also find some low-lying, pygmy-type magnetic dipole states distributed below 6.0 MeV, and they are formed mainly from the neutron configuration ν2d5/2 → ν2d3/2.

        Speaker: Mr Ligang Cao
      • 30
        ISGMR measurement of 86Kr with an active target CAT-M

        The equation of state (EOS) of nuclear matter is important not only for understanding the properties and dynamics of nuclei but also for explaining the astrophysical phenomena, such as neutron stars merger and supernova explosions. Research on the EOS from experimental nuclear physics attempts to determine the behavior near saturation density and symmetric nuclear matter from nuclear reactions. Recent studies have suggested that high-precision and high-accuracy measurements of the isospin-dependent term of incompressibility, Kτ, are crucial.

        Kτ can be directly determined from the isoscalar giant monopole resonance (ISGMR). In previous studies, Kτ=550±100 MeV was obtained from ISGMR measurements of Sn isotopes based on the liquid drop model. However, the uncertainty is large due to these measurements being limited to stable nuclei and the assumptions about surface effect. Additionally, phenomena beyond the liquid drop model, such as deformation and softness, have been observed. Therefore, to elucidate the fundamental properties of nuclear matter, including incompressibility and the nuclear matter EOS, it is necessary to survey the ISGMR over a wide range of the nuclear chart and conduct a more in-depth discussion through the ISGMR strength function.

        To achieve purpose, we developed an active target (CAT-M), a measurement device where the target itself functions as a detector. As the first step towards the systematic measurement of ISGMR, we performed ISGMR measurements of 86Kr in HIMAC of NIRS-QST. As a result, we determined the centroid energy of the ISGMR to be 17 ± 1 MeV. In this presentation, we will report the details of this experiment and discuss future plans for ISGMR measurements in unstable nuclei.

        Speaker: Dr Fumitaka ENDO (RCNP, Osaka University)
      • 31
        Coulomb Dissociation of 17B

        Neutron-rich isotopes have unique structural properties, such as the neutron halo where weakly bound neutrons are spatially extended from the core. Two-neutron halo nuclei such as 6He, 11Li, and 19B are especially interesting subject since they are Borromean nuclei. A Borromean nucleus is a bound three-body system where any of the two-body subsystems are unbound. Recent Coulomb dissociation studies of 19B have identified a di-neutron correlation — a compact neutron pair — in its halo[1]. We focus on 17B as a candidate of two-neutron halo, providing a core for 19B. Investigating halo properties and di-neutron correlations in 17B could reveal critical insights into multi-neutron halo structures. Using Coulomb dissociation experiment with the SAMURAI spectrometer at RIBF, RIKEN, a 48Ca primary beam at 345 MeV/nucleon was used to generate a 17B secondary beam via BigRIPS, followed by dissociation on a Pb target into 15B and two neutrons. The SAMURAI spectrometer and NEBULA neutron detector array allowed us to extract the exclusive cross section and relative energy spectrum for this dissociation. We will show the preliminary results on the B(E1) spectrum of 17B, where we found significant soft E1 strength.

        [1] K. J. Cook et. al., Phys. Rev. Lett. 124, 212503 (2020)

        Speaker: Hyeji Lee (Institute of Science Tokyo, University of Oslo)
      • 32
        Towards the shell structure at Island of Stability - Investigation of heavy-ion fusion reactions in near symmetric systems

        Search for the Island of Stability (IoS) has been one of the most attractive problems in modern nuclear physics. IoS is predicted to exist in the neutron-rich vicinity near Z = 114, N = 184, the Super Heavy Element (SHE) within are anticipated to have a lifetime longer than a year while the lifetime of SHE synthesized in the lab are on the order of ms. The huge enhancement in the stability is expected to be triggered by the increasing shell stabilization. However, the existence of IoS is predicted based on the shell model of nuclei lighter than lead, therefore energies of single-particle levels require further confirmation when extrapolating to the SH region.

        Heavy-ion fusion reaction is a promising approach to reach IoS, and it is also powerful in exploring the nuclear structure, in particular for highly excited states. Due to the neutron-rich nature of IoS, stable beam-target combinations can not be used, neutron-rich RI beams need to be applied instead. Similar to what had been done so far, Ca beam and actinide target seems to be a reasonable choice, while the beam intensity of neutron-rich Ca beam is currently too low at any facilities around the world. An alternative is to use double magic 132Sn, which is located at the fission peak of 238U. However, with the reduced mass asymmetry of the entrance channel, the formation probability of the compound nucleus will be hindered significantly. Therefore, pioneering studies of fusion reactions in near symmetric systems are needed.

        A fusion reaction using 136Xe beam to bombard a natural zinc target has been performed at HIMAC. The fusion-evaporation cross section was extracted based on the α decay spectroscopy of the evaporation residues. In this presentation, details of the experimental setup and the data analysis will be given.

        Speaker: Jiatai Li (Center for Nuclear Study, University of Tokyo)
      • 33
        Development of segmented La-GPS scintillation detector as a new β-implant detection tool

        In recent years, there have been ongoing efforts to better understand the rapid neutron capture process in the nucleosynthesis of elements. Such efforts include the measurements of β-decay and delayed multineutron emissions of these elements to allow for a more accurate input for the calculations in relation to the rapid neutron capture process modelling. Typically, β-γ spectroscopies are carried out with implantation detectors such as the Silicon strip detectors whose role is to measure the energy and position of the implant events and β-ray emissions. However, Silicon strip detectors are incapable of fast timing response for the purpose of neutron time-of-flight measurements of the delayed multineutron emissions. Furthermore, as the study progresses further away from stability and towards more neutron-rich elements, there is a need for better implantation detectors. Hence, a new implantation detector was developed using segmented Yttrium Orthosilicate (YSO) scintillator crystal which has a higher effective atomic number, Z ≈ 35 and density, ρ ≈ 4.5 g/cm3. These qualities of the YSO detector allow for correlation efficiency of 80% between the implant events and the β-decay with correlation radius of 3 mm. This improvement with the YSO detector encourages the development of another with heavier scintillator crystal, (Ga, La)2Si2O7:Ce (La-GPS) whose Z ≈ 51 and ρ ≈ 5.2 g/cm3. The La-GPS detector was proposed in hopes of achieving better correlation radius and faster timing response at the same efficiency as the YSO detector. This study then entails the current development of the La-GPS detector of 1.5 x 1.5 mm segments arranged into a 32 x 32 array in the x-y plane.

        References :

        1. Suzuki, A., Kurosawa, S., Shishido, T., Pejchal, J., Yokota, Y., Futami, Y., & Yoshikawa, A. (2012). Fast and High-Energy-Resolution Oxide Scintillator: Ce-Doped (La,Gd)2Si2O7. Applied Physics Express, 5(10), 102601. https://doi.org/10.1143/apex.5.102601
        2. Kurosawa, S., Shishido, T., Suzuki, A., Pejchal, J., Yokota, Y., & Yoshikawa, A. (2014). Performance of Ce-doped (La, Gd)2Si2O7 scintillator with an avalanche photodiode. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 744, 30–34. https://doi.org/10.1016/j.nima.2014.01.018
        3. Mumpower, M.R., R. Surman, G.C. McLaughlin, and A. Aprahamian. 2016. “The Impact of Individual Nuclear Properties on R-Process Nucleosynthesis.” Progress in Particle and Nuclear Physics 86 (January): 86–126. https://doi.org/10.1016/j.ppnp.2015.09.001.
        4. Grzywacz, R., M. Singh, T. King, R. Yokoyama, J. Agramunt, N. Brewer, S. Go, et al. 2017. “First Implementation of the New Segmented Implantation Detector for Decay Studies with BRIKEN Array.” Nucl. Instrum. Methods A 12 (2): 182. https://www.nishina.riken.jp/researcher/APR/APR051/pdf/150.pdf.
        5. Kurosawa, S., Horiai, T., Murakami, R., Shoji, Y., Jan, P., Yamaji, A., Kodama, S., Ohashi, Y., Yokota, Y., Kamada, K., Yoshikawa, A., Ohnishi, A., & Kitaura, M. (2018). Comprehensive Study on Ce-Doped (Gd, La)2Si2O7 Scintillator. IEEE Transactions on Nuclear Science, 65(8), 2136–2139. https://doi.org/10.1109/tns.2018.2841917
        6. Yokoyama, R., M. Singh, R. Grzywacz, A. Keeler, T.T. King, J. Agramunt, N.T Brewer, et al. 2019. “Segmented YSO Scintillation Detectors as a New β-Implant Detection Tool for Decay Spectroscopy in Fragmentation Facilities.” Nuclear Instruments and Methods in Physics Research Section a Accelerators Spectrometers Detectors and Associated Equipment 937 (May): 93–97. https://doi.org/10.1016/j.nima.2019.05.026.
        Speaker: Yasmin Anuar
      • 34
        Spin entanglement in time-dependent two-proton emission

        I will present a theoretical evaluation of coupled-spin entanglement in the two-proton (2p) radioactive emission [1]. For this purpose, a time-dependent three-body model is utilized [2].
        Spin entanglement has been evaluated in terms of the coupled-spin correlation S_{CHSH} for the two fermions. Here this S_{CHSH} is so-called Clauser-Horne-Shimony-Holt (CHSH) indicator. For the two protons produced in the 2H + p --> 2He + n reaction by Sakai et. al. [3], this quantity was measured as S_{CHSH} ∼= 2.82. This is in agreement ith the non-local quantum mechanics and beyond the local-hidden-variable (LHV) theory. After this experimental success, the spin entanglement can be one measurable quantity to probe the nuclear structures and interactions.
        In this work, the time-dependent calculation is performed to predict that S_{CHSH} ~= 2.65 in the 6 Be nucleus [1]: the 2p-spin entanglement beyond the LHV theory is suggested. This entanglement is sensitive to the proton-proton interaction: the short-lived, and thus, broad-width 2p-emitting state has the weaker spin entanglement. In parallel, the core-proton interactions do not harm this entanglement during the time-dependent decaying process. The sensitivity of SCHSH to the initial state, especially whether the diproton correlation exists or not, will be discussed in this contribution.
        [1] T. Oishi, arXiv: 2407.11136 (2024).
        [2] T. Oishi, M. Kortelainen, and A. Pastore, Phys. Rev. C 96, 044327 (2017).
        [3] H. Sakai et. al., Phys. Rev. Lett. 97, 150405 (2006).

        Speaker: TOMOHIRO OISHI (RIKEN Nishina Center)
      • 35
        Collectivity along Ti isotopes towards N=40

        We have performed a Coulomb excitation experiment of 58Ti and
        determined its B(E2) value to study the evolution of collectivity in
        the Ti isotopes towards N=40.
        The neutron number N=40 is a magic
        number in the harmonic oscillator model.
        However, the magic character is not observed in most nuclei because of the
        narrowing of the shell gap due to spin-orbit interaction.
        One exception is the proton magic nickel isotope with N=40 (68Ni),
        which shows magic nature having small collectivity compared to
        the surrounding Ni isotopes.
        Fe(Z=26) and Cr(Z=24) at N=40 recover large collectivity again.
        It is interesting to see if the magic
        nature restores again or not in Ti isotopes (Z=22) located near the lower
        edge (Z=20) of the f7/2 shell. For the Ti isotopes, B(E2) values,
        which are the most direct indicators of collectivity, have been
        obtained up to 54Ti with N=32. The Coulomb excitation experiment
        was performed at RIBF using the HiCARI array consisting of the
        MiniBall clusters, Clover detectors, and Tracking Ge detectors. In
        this presentation, I will talk about the result of this experiment.

        Speaker: Asahi Kohda (RCNP, Osaka University)
      • 36
        The pair collective mode caused by the neutron pairing interaction in stable nuclei

        Spin-zero pairing correlation in finite nuclei produces a systematic difference between the ground-state energies of even and odd-mass nuclei. We customarily use the odd-even mass staggering when discussing pairing correlation, but it is difficult to precisely calculate the energies of odd-mass ground states, especially in the nuclear density functional theory (DFT). Another physical observable that avoids this problem, the moment of inertia of pairing rotation, has been suggested as a pairing indicator [1,2]. A pair-(boson) condensed state caused by the pairing correlation in a nucleus breaks the number-gauge symmetry and has a specific direction in the number-gauge space. It can be viewed as a ``deformation'' of the nuclear wave function and rotates in the number-gauge space to restore the broken symmetry. Therefore there exist a pairing rotational energy and an inertia which are obtained from the analogy of spatial rotation.Experimental data and nuclear DFT calculations in open-shell nuclei support the interpretation of binding energy systematics in terms of the pairing rotational bands [1].
        The isotopic (or isotonic) trend of the ground state energy measured from a reference neutron- (or proton-) number system and after subtracted the linear particle-number term forms a band structure that is interpreted as a harmonic vibration (pairing vibration) when the reference system is magic, and rotational excitation (pairing rotation) in other systems.The pairing vibrational mode is the fluctuation of the order parameter of the rotational symmetry breaking in the gauge space, and this mode affects the pair transfer reaction.

        In this presentation, first, we focus on revealing the fundamental properties of the pairing rotational moments of inertia. We adopt a monopole pairing Hamiltonian and calculate the neutron pairing rotational bands and their moments of inertia within the BCS approximation and its extension for Ni, Sn, and Pb isotopes. As a result, the pairing moments of inertia decrease when increasing the deformation in gauge space (i.e., the order parameter of the pair condensation) in open-shell nuclei. On the other hand, in closed-shell nuclei, the pairing moments of inertia increase when the order parameter is small.We obtain the same conclusion when the Skryme interaction is used within the Hartree-Fock-Bogoliubov approximation, but this relation between the moments of inertia and deformation in pairing rotation contradicts that in spatial rotation.We will discuss the qualitative reason for these results using both BCS [3] and cranking approximation.
        Toward the description of the collective dynamics governed by the pairing correlation based on realistic effective interactions, we will show the current status for constructing the pairing collective Hamiltonian by calculating the potential curve, the pairing rotational moments of inertia, and the inertial mass of the pairing vibration as a function of the pairing gap using the constraint BCS+Local QRPA [4] calculation.

        [1] N. Hinohara and W. Nazarewicz, Phys. Rev. Lett. 116, 152502 (2016).
        [2] N. Hinohara, J. Phys. G: Nucl. Part. Phys. 45, 024004 (2018).
        [3] C. Ruike, K. Wen, N. Hinohara, and T. Nakatsukasa, EPJ Web of Conf. 306, 01006 (2024), arXiv:2405.04809.
        [4] N. Hinohara, K. Sato, T. Nakatsukasa, M. Matsuo, and K. Matsuyanagi, Phys. Rev. C 82, 06413 (2010).

        Speaker: Chisato Ruike (College of physics, School of science and engineering, University of Tsukuba)
      • 37
        Coulomb breakup reaction of 14Be

        We report on the kinematically complete measurement of the Coulomb breakup of the two-neutron halo nucleus 14Be on Pb at 220 MeV/nucleon at SAMURAI at RIBF. The previous study [1] showed significantly large E1 excitation of 14Be at low excitation energies, which was indicative of the revelation of the soft E1 excitation for halo nuclei, while the statistics was low and the quantitative comparison with theories was not sufficient. The current measurement has significantly higher statistics, and the gamma rays were measured in coincidence to evaluate the core-excited contribution which was missing in the previous work. We will present the energy spectrum of Coulomb breakup cross sections and E1 strength distribution dB(E1)/dEx. We apply the integrated B(E1) strength to extract the information on the dineutron correlation using the non-energy weighted E1 sum rule, which is important to assess how the spatial dineutron correlation appears. The configuration of the valence two neutrons in 14Be is considered to be a mixture of 2s-1p-1d, which may show different dineutron properties in 14Be, compared with 11Li[2,3] and 6He[4].We discuss the characteristic feature of the E1 response and dineutron correlation in 14Be.

        References
        [1] M. Labiche, et al., Phys. Rev. Lett. 86, 600 (2001)
        [2] T. Nakamura, et al., Phys. Rev. Lett. 96, 252502 (2006).
        [3] Y. Kubota et al., Phys. Rev. Lett. 125, 252501 (2020).
        [4] Y.L. Sun et al., Phys. Lett. B 814, 136072 (2021).

        Speaker: Yuma Ohsawa (Institute of Science Tokyo, Dept. of physics)
      • 38
        Equation of State of Spin-polarized Matter in Relativistic Hartree-Fock Theory

        We used the Relativistic Hartree-Fock theory to calculate the equation of state (EOS) of spin-polarized matter, where the spins of nucleons are biased either up or down. Similar to the slope parameter of the isospin-symmetry energy in spin unpolarized matter, we define the “spin slope parameter” of the spin-symmetry energy to characterize the variation of the energy as the spin polarization is varied. In this contribution, we will discuss the correlation between the slope parameters and the spin slope parameters in varying the parameter sets. We will show that the slope parameters and the spin slope parameters have a negative correlation when neutrons and protons are spin-polarized along the same direction, while the spin slope parameter is nearly independent of the slope parameter when neutrons are spin-polarized along the opposite direction to protons.

        Speaker: Toi Tachibana (Kyoto University)
      • 39
        The first β delayed γ-ray spectroscopy for 109Mo focusing on low-lying quasi-particle states

        The rapid spherical to prolate shape transition at N = 60 in the mid-shell region around Z = 40 has been evidenced from diverse experiments [1-5], and the shape evolution for more neutron-rich nuclei has been of interest because of the emergence of the triaxial degree of freedom. Theoretical predictions suggested further phase transitions such as a shape transition to oblate spheroid [6-8], a transition to triaxial ground shapes [6, 9] and doubly magic behavior at N = 70 [10]. Experimental information for the low-lying states of even-odd nuclei can be the key since they exhibit the properties of orbitals of the un-paired nucleon near the Fermi surface and the orbital configuration is sensitive to the nuclear shape.
        The shape and shell evolution for molybdenum nuclei (Mo, Z = 42) with N ≥ 60 have been studied in various experiments [11-16] but the detailed shell structure near the Fermi surface is still unresolved. The excited states of 109Mo were studied through the spontaneous fissions of 248Cm and 252Cf [11, 12], but the recent discovery of an isomeric transition in 109Mo has revealed that previous studies on 109Mo were limited to the excited states above the ground state [16, 17].
        In the present study, the low-lying states in 109Mo are investigated from the γ-rays detected following the β decay of 109Nb. The data was collected as part of the EURICA project in RIKEN [18]. Two new isomeric γ-rays are identified together with the known isomeric γ-ray [16, 17]. Their transition multipolarities have been scrutinized considering internal conversion coefficients and recommended upper limits [19]. New excited states including a new first excited state below the isomeric state are assigned. The results of mean-field calculations [20] and intrinsic gyromagnetic moment calculations [21] are considered to assign associated neutron orbitals for the low-lying states. The analysis results for the most likely quasi-particle configurations of the low-lying states including ground band and isomeric band will be presented.

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        [4] K. Heyde and J. L. Wood, Rev. Mod. Phys. 83, 1467 (2011)
        [5] J.-M. Régis et al. Phys. Rev. C 95, 054319 (2017)
        [6] J. Skalski, S. Mizutori and W. Nazarewicz, Nucl. Phys. A 617, 3, p. 282, (1997)
        [7] F. R. Xu, P. M. Walker, and R. Wyss, Phys. Rev. C 65, 021303(R) (2002)
        [8] R. Rodriguez-Guzman, P. Sarriguren, and L. M. Robledo, Phys. Rev. C 82, 044318 (2010)
        [9] P. Möller et al. Phys. Rev. Lett. 97, 162502 (2006)
        [10] M. Bender et al. Phys. Rev. C 80, 064302 (2009)
        [11] J. K. Hwang et al., Phys. Rev. C 56, 1344, (1997)
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        [13] C. Goodin et al., Phys. Rev. C 80, 014318, (2009)
        [14] J. Marcellino et al., Phys. Rev. C 96, 034319, (2017)
        [15] J. Ha et al., Phys. Rev. C 101, 044311, (2020)
        [16] W. Urban et al., Phys. Rev. C 102, 024318, (2020)
        [17] D. Kameda et al., Phys. Rev. C 86, 054319, (2012)
        [18] P. A. Söderström et al., JPS Conf. Proc. 1, 013046 (2014),
        [19] P. M. Endt, At. Data Nucl. Data Tables, 26, 1, p. 47, (1981)
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        Speaker: Sunghan Bae (Center for Nuclear Study)
      • 40
        Interaction and charge-changing cross sections of neutron-rich Cu isotopes, and derivation of proton and neutron distribution radii.

        Determining the equation of state for nuclear matter is one of the primary goals in nuclear physics, and is essential for understanding the macroscopic properties of nuclear matter in equilibrium states in both finite systems (nuclei) and infinite systems (neutron stars). The objective of our study is to derive the density-dependent term L for the symmetry energy, focusing on the symmetry energy term based on the density difference between protons and neutrons, and deduce it from the isotope dependence of neutron skin thickness. To this end, we measured the interaction cross sections and the charge-changing cross sections of 6381Cu at 260A MeV using the BigRIPS isotope separator at RIKEN RIBF. This allowed us to determine the nuclear matter radius from the interaction cross sections and the proton distribution radius from the charge-changing cross sections, and thus the neutron skin thickness from the difference between these two. However, for 6381Cu, we used the proton distribution radius already measured by the isotope shift method, and for 7981Cu, we will derive the proton distribution radius from the charge-changing cross section. In addition, the origin of the odd-even staggering effect of nuclei in the charge radius remains unclear, and insights from the staggering of both charge radius and matter radius of Cu isotopes are anticipated. In this presentation, we will discuss 1) the measurement results of the interaction and charge-changing cross sections of 6381Cu, 2) the derived proton and neutron distribution radii, 3) the neutron skin thickness, and 4) the staggering in odd-even nuclei.

        Preliminary results of Interaction Cross Sections of Cu isotopes

        Speaker: Gen Takayama (Osaka Univ.)
      • 41
        The study of double Gamow–Teller giant resonance using double charge exchange reaction of (12C, 12Be(0+2))

        The double Gamow–Teller (DGT) transition is a nuclear process such that both of the spin and isospin are flipped twice without changing the orbital angular momentum. The nuclear response of the DGT transition is hardly known especially in the high excitation energy region. The existence of giant resonance in DGT transition, DGT giant resonance (DGTGR), is expected. The experimental observables of the DGTGR will provide the information about the two-phonon excitation in which the spin-degrees of freedom contribute. It is also important in the connection to the nuclear matrix element of neutrino-less double β decay.
        The first experiment using the double charge exchange reaction of (12C,12Be(02+)) at RIBF was performed in 2021, aiming at the observation of the DGTGR. We measured for the 48Ca target with primary beam of 12C with the energy of 250 MeV/nucleon. We obtained the excitation energy distribution of the double differential cross section with the resolution of 1.5 MeV. The forward-peaking structure was observed at around 20 MeV in the excitation energy in 48Ti. The integrated 0 cross section below 34 MeV is 1.33±0.12 μb/sr.
        In order to extract the DGT components, the experimental angular distributions were compared with the calculated one. The extracted DGT strength below 34 MeV is 226+17% of the sum rule value.
        In this contribution, we will report the outline of the experiment and the analysis.

        Speaker: Akane Sakaue (CNS)
      • 42
        Study on the shell structure of 11C with alpha scattering by using MATE

        The nuclear shell structure provides an important guide for our understanding of the nuclear structure and the underlying nuclear forces. Following a series of studies on the weakly-bound nuclear region far away from the stability line, many exotic phenomena have been found, such as the emergence of new magic numbers. The study of new magic numbers can provide us with a good perspective to understand the evolution of the nuclear shell structure. Recently, the existence of the new proton magic number Z = 6 was found in the neutron-rich carbon isotopes, which raised the question of whether the Z = 6 magic number persists in the neutron-deficient carbon isotopes. At present, there exist only the experimental results of 10C on the neutron-deficient side, which shows greater neutron contribution to E2 transition than that of protons. To further investigate the neutron-deficient carbon isotopes, we carried out an alpha inelastic scattering experiment to study the structure of 11C.

        The a(11C, a*) experiment was carried out at the RIBLL1, HIRFL. A primary beam 12C bombarded a beryllium target to produce a 55-MeV/u secondary beam 11C. The 11C beam was incident on an active target Time Projection Chamber (TPC) named MATE (Multi-purpose Active target Time projection chamber for nuclear astrophysical and exotic beam Experiments). MATE is a new detector developed at IMP in recent years, and is mainly composed of TPC and silicon detectors. By measuring the yield of the recoil alpha particles, a differential cross section can be obtained. The ratio of the neutron and proton contribution to the excitation Mn/Mp will be obtained from reaction theory analysis, combining the results from this work and earlier (p, p′) measurement. The results will shed light on the important question of whether or not there exists a proton subshell closure in 11C. The experimental data is currently being further analyzed.

        Speaker: Zhichao Zhang (IMP,CAS)
      • 43
        Double beta decay phase space factor calculation using Coulomb potential determined by density functional theory

        In some nuclei, a phenomenon called double beta decay, in which two nucleons simultaneously undergo beta decay, is known to occur rarely. In this case, two neutrinos are emitted. Neutrinos may be Majorana particles, which do not distinguish between particles and antiparticles among Fermi particles. In that case, double beta decay without neutrino emission (0νββ) may occur. If the half-life of this decay can be measured experimentally and quantities called the phase space factor and the nuclear matrix element can be calculated theoretically, the effective neutrino mass can be obtained.

        The phase space factors include the information on the emitted electron wave functions. They have been calculated by solving the Dirac equation for the emitted electrons by including the finite-size effect (the nuclear charge distribution assuming a uniform charge distribution or derived from Woods-Saxon potential) and the electron screening effect based on the Thomas-Fermi equation [1,2].

        We are performing a precise calculation of the phase space factor based on the nuclear and atomic density functional theory (DFT); nuclear charge distribution based on the nuclear DFT and the electron screening effect based on the atomic DFT.

        In this presentation, I will show the results of the phase space factor calculation for double-beta decaying nuclei based on the nuclear/atomic DFT.
        .
        [1] J. Kotila and F. Iachello, Phys. Rev. C 85, 034316 (2012).
        [2] S. Stoica and M. Mirea, Front. Phys. 7, 12 (2019).

        Speaker: Atsuya Kanai (University of Tsukuba)
      • 44
        Charge symmetry breaking effects with ω-ρ0 mixing

        One of the primary goals of nuclear physics is to achieve a unified understanding of baryon-baryon interactions based on flavor symmetry and its breaking. Charge symmetry breaking (CSB) represents a part of the flavor symmetry that is violated by nuclear forces, leading to differences in neutron-neutron and proton-proton interactions, as well as in neutron-Lambda and proton-Lambda interactions. The CSB effects are indeed observed in the mirror binding energy differences of both normal nuclei and hypernuclei [1-3].

        In this work, we introduce CSB through ω-ρ0 mixing [4] within a relativistic mean-field model, along with corrections for electromagnetic (EM) interactions (such as the EM form factors of nucleons and vacuum polarization). An advantage of our model is its applicability to hypernuclei on an equal footing with normal nuclei. In this talk, we focus on normal nuclei and examine the effects of ω-ρ0 mixing on observables such as binding energy and charge radius. We also compare the CSB strength in our model with that of Skyrme-type CSB models.

        [1] Nolen and Schiffer, Ann. Rev. Nucl. Sci. 19, 471 (1969).
        [2] Botta, AIP Conf. Proc. 2130, 030003 (2019).
        [3] Brown, Phys. Lett. B483, 49 (2000).
        [4] Coleman and Glashow, Phys. Rev. Lett. 6, 423 (1961).

        Speaker: Yusuke Tanimura (Soongsil University)
      • 45
        Investigating Shell Structure at N=32 and 34 in Neutron-Rich Nuclei Using High-Precision Mass Measurements

        In this study, we discuss the shell structure at N=32 and 34, newly recognized magic numbers in neutron-rich nuclei, in the context of deformation toward N=40 based on nuclear mass implications. Mass measurements of isotopes 55Sc, 5558Ti, and 5559V were conducted during the first commissioning of the ZD-MRTOF system at the RIBF/RIKEN under the SLOWRI project. The newly installed experimental system, situated downstream of the ZeroDegree (ZD) spectrometer in the BigRIPS experimental area at RIBF/RIKEN, includes a radiofrequency carpet-type helium gas cell (RFGC) coupled with a multi-reflection time-of-flight mass spectrograph (MRTOF). In this initial low-energy experiment at BigRIPS, high-energy products were captured and decelerated in helium gas, then extracted through an aperture using an RF microstructure into a Paul trap ion guide. The cooled, thermalized ions were injected into the MRTOF system as a high-quality beam for high-precision mass measurements. We present the features of the ZD-MRTOF system and share experimental results. These new data allow us to examine the N=32 and 34 sub-shell structures in comparison with predictions from the Monte Carlo shell model (MCSM). Furthermore, we expand our discussion by incorporating recent research trends related to the evolution of nuclear shell structure in neutron-rich isotopes.

        Speaker: Shun Iimura (Rikkyo University)
      • 46
        Shell-model study using density functionals

        The parameter set of many kinds of density functionals are designed not only to reproduce the basic properties of finite nuclei but also to satisfy the saturation properties of nuclear matter. Consequently, calculations using density functionals can describe experimental data in various mass regions. However, the mean-field calculations using the functionals miss some many-body correlations. Especially, the odd nuclei are often treated with the equal filling approximation. In contrast, there are semi-empirical methods that construct a shell-model Hamiltonian by fitting experimental values. The shell-model calculations can consider correlations beyond mean fields because these calculations can include configuration mixing, but we must determine the model space and then fit the effective interactions with experimental results.
        In this study, a hybrid approach is attempted by using density functionals to shell-model calculations. The resultant density-dependent interaction of the shell-model Hamiltonian is self-consistently determined. In contrast to semi-empirical methods, this hybrid model can compute shell-model Hamiltonian including the density-dependent force on the ground-state density. The purpose of this calculation is to investigate which nucleon-nucleon interactions make important contributions to the shell structure systematically from stable nuclei to unstable nuclei. We investigate excitation spectra, separation energies, and reduced transition probabilities of not only the even-even nuclei but also the odd nuclei with correlations beyond the mean-field.
        In this presentation, we will present results in comparison with the experimental results from sd-shell nuclei to pf-shell nuclei. In particular, we will focus on the calculation with the isospin-dependent tensor force and show that the isospin dependence is necessary to describe characteristics in neutron-rich nuclei.

        Speaker: Kota Yoshinaga (University of Tsukuba)
      • 47
        Effect of Coulomb interaction on nuclear properties

        The energy density functional method provides a systematic approach to analyzing nuclear properties across the entire nuclear chart. We have performed calculations for nuclei from the proton drip line to the neutron drip line, including superheavy nuclei. Using the HFBTHO program (Axially deformed solution of the Skyrme-Hartree–Fock–Bogoliubov equations using the transformed harmonic oscillator basis (II)), we investigate the effect of Coulomb interaction on the deformation of even-even nuclei and the position of the drip lines. The results show that Coulomb interaction enhances nuclear deformation and extends the neutron drip line toward the neutron-rich side. Notably, we find that the Coulomb interaction provides additional binding energy to nuclei near the neutron drip line, attributed to a change in the single-particle energy of neutrons. We will present an analysis of this mechanism from a quantum mechanical perspective.

        Speaker: kenta hagihara (University of Tsukuba)
      • 48
        Halo formation in neutron-rich ishotope 29Ne

        Very neutron-rich isotopes, including 28−32Ne, in the vicinity of N = 20 are known to exhibit ground states dominated by fp-shell intruder configurations: the "island of inversion." Systematics for the Ne-isotopic chain suggest that such configurations may be in strong competition with normal shell-model configurations in the ground state of 29Ne. A determination of the structure of 29Ne is thus important to delineate the extent of the island of inversion and better understand structural evolution in neutron-rich Ne isotopes. In order to investigate the structure of 29Ne, we have measured cross sections for one-neutron removal on carbon and lead targets and the parallel momentum distribution of the 28Ne residues from the carbon target at around 240 MeV/nucleon at RIKEN RI Beam Factory. The combined analysis of the carbon and lead cross sections suggests that the ground state of 29Ne has a spin parity of 3/2−. Detailed comparisons of the measured inclusive and partial cross sections of the two targets and the parallel momentum distribution of the carbon target with reaction calculations, combined with spectroscopic information from large-scale shell-model calculations, are all consistent with a 3/2− spin-parity assignment. The results are also well understood in the Nilson diagram. In the presentation, we will discuss our results and recent relevant date.

        Speaker: Nobuyuki Kobayashi (RCNP, Osaka University)
      • 49
        Ab-initio reaction calculation for t(p,n)3He

        The issue of tritium water caused by the Fukushima nuclear power plant disaster has become a social problem. In this presentation, the tritium transmutation reaction to 3He is analyzed and reported from the viewpoint of ab-initio calculation of nuclear force.

        Speaker: Shigeyoshi Aoyama (KEK CRC)
      • 50
        Statistical analysis of nuclear low-lying states and double-beta decay with a covariant energy density functional

        We present a statistical analysis of nuclear low-lying states within the framework of multireference covariant density functional theory (MR-CDFT) using a relativistic point-coupling energy density functional (EDF). This study is made possible by the newly developed subspace-projected (SP)-CDFT, where the wave functions of nuclear low-lying states for target EDF parameter sets are expanded in a subspace spanned by the wave functions of low-lying states from training parameter sets. We analyze the global sensitivity of excitation energies, electric quadrupole transition strengths, and the nuclear matrix element of neutrinoless double-beta decay in 150Sm and 150Nd to EDF parameters, and explore the correlations between these quantities and nuclear matter properties. Furthermore, we quantify the statistical uncertainty of low-lying states through their posterior distributions.

        Speaker: Xin Zhang (Kyoto University)
      • 51
        Shell model calculation for medium-heavy nuclei based on effective interaction derived from the VS-IMSRG method

        We have investigated the nuclear structure properties of the medium-heavy nucleus like Cd isotopes in the framework of the nuclear shell model.
        We have used the ab initio shell model Hamiltonian from the in-medium Similarity Renormalization Group (IMSRG) approach.
        Here, two types of IMSRG approaches have been used, namely IMSRG(2) and a factorized approximation of IMSRG(3).
        In this work, using these approaches we calculated 2 neutron separation energies, excitation energies and some other physical quantities.
        In our analysis, we have found that the IMSRG(2) approach overestimates the 2+ excitation energies of the Cd isotopes about two factor than experimental one.
        On the other hands, a factorized approximation of IMSRG(3) has been developed, which reproduces the 2+ excitation energies of Cd isotopes more reasonable than IMSRG(2) approach.
        We will discuss our recent shell model results of nuclear structure properties of medium-heavy nucleus in comparison with experimental data and also discuss the origin of difference between the two ab initio approaches IMSRG(2) and IMSRG(3).

        Speaker: Takumi Shoji (University of Tsukuba)
      • 52
        Measurements of Isomer Ratio for 12Be beams and Precise Branching Ratio and Half-Life

        The study of isomeric states in nuclei is crucial for understanding the nuclear structure, as these states often exhibit structures significantly different from their ground states. The neutron-rich nucleus 12Be has an isomeric 02+ at Ex=2.3 MeV with a half-life of 230 ns (see level diagram in the upper right of Fig. 1). This state undergoes deexcitation via an E2 transition through an intermediate 21+ state or via an E0 transition directly to the 01+ ground state, accompanied by positron annihilation γ-rays produced through E0 internal pair production.
        Previous studies[1,2] have indirectly suggested that the isomeric state in 12Be exhibits a large nuclear radius based on γ-ray measurements. However, it is still an open problem due to the uncertainties of that discussion. Thus, we propose a direct measurement of the radius of the isomeric state in 12Be via its interaction cross section. Since producing a pure beam of isomeric 12Be is challenging, we aim to measure interaction cross sections using beams with different isomer ratios, where the isomer ratio represents the fraction of isomeric nuclei within the beam.
        In this study, 12Be beams were produced at the HIMAC synchrotron facility through the projectile fragmentation of 13C and 18O beams on Be or Al targets at 250 MeV/nucleon. The isomer ratios of the 12Be beams were measured, and the branching ratio and the half-life of the isomeric state were determined with high precision by analyzing delayed γ-rays emitted from stopped 12Be. The time spectrum of these delayed γ-rays is shown in Fig. 1. The results of these measurements will be presented and the dependence of the isomer ratio on beam conditions will be discussed.
        The level diagram of $^{12}$Be below its isomeric state (upper right) and the time spectrum of the delayed annihilation gamma-rays with the present fitted result. The energy levels and half-life values in the level diagram are adopted from Ref. [1].

        Reference
        [1] S. Shimoura et al., Phys. Lett. B. 654, 87 (2007).
        [2] I. Hamamoto and S. Shimoura, J. Phys. G: Nucl. Part. Phys. 34, 2715 (2007).

        Speaker: Ryo Taguchi (Osaka University)
      • 53
        Study of nuclear structure in 32Al and 33Al by β-delayed-neutron decay of spin-polarized 33Mg

        Shape coexistence has been observed in nuclei located close to the “Island of Inversion”, where the disappearance of the magic number N = 20 is well known. This nuclear structure is one of the important topics that has been extensively studied both experimentally and theoretically. Our group has systematically investigated nuclear structure in this mass region, focusing on the isotopes of Mg and Al. We have used our original method to clearly confirm spin and parity of the states in daughter nuclei using β-ray spatial asymmetry. In 2023, experiment on β- and β-delayed-neutron decays of 33Mg to 33Al (N=20) and to 32Al, respectively, was performed using a spin-polarized beam at TRIUMF in Canada.
        As neutron-rich nucleus 33Al has large β-decay Q value and low neutron-separation energy, it is important to measure not only γ-ray, but also neutron in the energy of several tens of keV to several MeV. Spin polarized 33Mg beam with energy of 30 keV and intensity of 8 kpps was implanted into MgO stopper which was surrounded by magnets with magnetic field of 0.34 T to keep the spin polarization. The polarization of this beam was around 8.2%. Gamma ray was detected by seven Ge detectors. β-ray was measured by ten plastic scintillators. The β-decay spatial asymmetry was obtained by using data from two of β-ray detectors, which were positioned along the polarization axis. β-delayed neutron was detected by ten plastic scintillators and one Li glass scintillator for high- and low-energy neutron, respectively.
        In order to construct the decay scheme of β-delayed neutron of 33Mg to 32Al, β-γ-n coincidence data has been analyzed. The energy of the β-delayed neutron is deduced using time-of-flight (TOF) method. Using this neutron information, the level scheme of the neutron unbound states in 33Al has been also constructed. These states are compared to theoretical calculation using large scale shell model to understand nuclear structure such as shape coexistence in these nuclei.

        Speaker: M. Matsuda (Dept. of Phys., Osaka Univ.)
      • 54
        Towards the study of neutron-distribution in unstable nuclei through low-energy electron scattering

        The charge density distributions of nuclei, ρ(r), are the best determined by elastic electron scattering, and those of the stable nuclei that have been studied so far have played an essential role in revealing their internal structure.

        Recently, the 4th-order moment of the charge density distribution, $$, is shown to be a novel way to access neutron-distribution radius (ref.[1]).

        Experimental determination of <r_c^4> can be performed by the two methods; 1) obtained from the ρ(r) derived from the form factor F(q) (where q is the momentum transfer) measured covering a wide q range (note that the electron scattering cross section has 1/q4 dependence), and 2) obtained via Taylor expansion of F(q) at low q region.

        In the year 2023, the world’s first electron scattering for online-produced neutron-rich unstable nuclei has been successfully conducted at the SCRIT facility of RIKEN (ref. [2]). Here, it is interesting to point out that elastic electron scattering for unstable nuclei at low q region may allow access to the neutron-distribution radius of neutron-rich unstable nuclei using the method 2) as well as the proton-distribution radius.

        In reality, F(q) cannot be obtained directly, instead we usually use ρ(r) from the cross section to calculate $.However,forthemethod2),F(q)isessential.Thereforetousethemethod2),weareproposinganewapproachtoextract<rc4>withintheframeworkofPlaneWaveBornApproximation(PWBA),buttakingintoaccountCoulombdistortionforthecaseof^{208}$Pb as a benchmark. In addition to the theoretical approach, experimental verification is currently underway at the low energy facility (ULQ2) at RARiS, Tohoku University. In this talk, I will discuss the current status of this project and also the future possibilities at the SCRIT facility.

        Reference
        [1] H. Kurasawa and T. Suzuki, “The nth-order moment of the nuclear charge density and contribution from the neutrons”, Prog. Theor. Exp. Phys. 2019, 113D01(2019).
        [2] K. Tsukada, “The first electron scattering has been successfully performed at the self-confining radioactive-isotope ion target (SCRIT)facility”, Phys. Rev. Lett. 131.092502(2023).

        R. Danjo¹, T. Goke¹, Y. Honda¹, K. Hotta¹, C. Legris¹, Y. Maeda³, T. Muto¹, T. Ohnishi², H. Sakaguchi⁴, T. Suda¹, T. Suzuki¹, K. Tsukada2,5, T. Yamauchi¹, K. Yoshimoto¹

        1: Research Center for Accelerator and Radioisotope Science
        2: Nishina Center for Accelerator-Based Science, RIKEN
        3: Faculty of Engineering, Miyazaki University
        4: Research Center for Nuclear Physics, Osaka University
        5: Institute for Chemical Research, Kyoto University

        Speaker: Rika Danjo (Tohoku University, Research Center for Accelerator and Radioisotope Science)
      • 55
        Neutron-rich nuclei around 78Ni with the VS-IMSRG-based interaction

        Exploring the nuclear shell structure of neutron-rich N=50 nuclei is one of the most interesting and mysterious phenomena in nuclear physics, and it has become the forefront of both experimental and theoretical research in recent years. We have constructed the shell model Hamiltonian in the π(fp)-ν(sdg) model space based on {\it ab-initio} approach VS-IMSRG(3f2) with minimal phenomenological adjustments to the single-particle energies to reproduce the recently available experimental data in N=50 region. To perform the large-scale shell model calculations, we have carried out the state-of-the-art advanced Monte-Carlo Shell Model (MCSM) to interpret the nuclear structure properties of nuclei near the neutron magic number N=50. Our MCSM calculated nuclear structure properties with the new shell model Hamiltonian based on VS-IMSRG(3f2) is obtained in a rather good qualitative agreement with the experimental data and previous shell model predictions. The prediction of structural properties in the N=50 region has important implications for nuclear astrophysics, as they influence nucleosynthesis pathways and contribute to the distribution of elemental abundance in the universe.

        Speaker: ANIL KUMAR (Center for Computational Sciences, University of Tsukuba, Tsukuba, Japan)
      • 56
        Non-Axial Octupole Deformation in Atomic Nuclei: A Group-Theoretical Comparison of Tetrahedral and Octahedral Symmetries

        Recent experimental advancements have provided substantial evidence for octupole deformation in atomic nuclei, revealing complex deformation modes beyond the quadrupole level. Conventional axially symmetric models struggle to fully capture these deformations, necessitating an exploration of non-axial modes. Previous studies employing the Oh group symmetry faced limitations, as spatial inversion symmetry inherently excludes rotational degrees of freedom in the decomposition of l = 3 spherical harmonics. To overcome this, we investigate the Td (tetrahedral) and O (octahedral) groups, both of which successfully yield the T1 irreducible representation—associated with rotational degrees of freedom—allowing for the construction of an intrinsic coordinate system for octupole deformation. However, differences in the decomposition of one-dimensional irreducible representations under Td and O symmetries lead to distinct linear combinations of spherical harmonics as basis functions. This raises fundamental questions regarding the optimal choice of symmetry for parameterizing octupole deformation in nuclei. By systematically exploring these symmetry constraints, this work aims to establish a robust group-theoretical framework for describing non-axial octupole modes, paving the way for refined theoretical models of nuclear structure.

        Speaker: Xiaosheng Xing (RCNP)
      • 57
        Alpha particles as building block of 16O ground state probed by alpha knockout reaction

        Can alpha particles be the basic building blocks of atomic nuclei? The conventional mean-field picture with nucleons as basic degrees of freedom is considered to dominate, particularly in the ground state of the doubly magic nucleus 16O. On the other hand, alpha cluster theories have predicted their existence in the ground state of 16O [1, 2, 3]. Recently, proton-induced alpha-knockout reactions have been established as an effective probe for studying alpha clusters in the nuclei [4]. The reaction cross section of 16 O(p, pα) is a good measure for the number of alpha clusters.
        We performed an experiment at RCNP using a 400 MeV proton beam incident on an oxygen-containing target. A double-arm spectrometer analyzed the energies and momenta of recoil protons and alpha particles emitted by the 16 O(p, pα)12 C reaction.
        The measured alpha separation energy spectrum and its yield provide direct evidence of alpha clusters in the ground state of ^{16}O. Furthermore, the spectrum reveals three distinct peaks, each corresponding to different types of alpha cluster motion inside the nucleus. Ongoing analysis of the momentum distribution of alpha clusters in ^{16}O will further clarify their motion.
        we will discuss the experimental results of the 16O(p,pα)12C reaction and their interpretation.

        [1] D.M. Brink et. al, Phys.Lett.B. 33, 143-146 (1970)
        [2] R. Bujker and F. Iachello, Phys.Rev.Lett. 112, 152501 (2014).
        [3] E. Epelbaum et. al, Phys.Rev.Lett. 112, 102501 (2014).
        [4] J. Tanaka, Z.H. Yang et. al, Science 371, 260-264 (2021).

        Speaker: Taichi Miyagawa (Research Center for Nuclear Physics, Osaka university)
      • 58
        Nuclear moment measurements of 130Sn and 132Sn isomers at RIBF

        The doubly-magic nucleus 132Sn and its surrounding nuclei are expected to provide crucial insights into the nuclear shell model structure. In order to extend the nuclear structure studies for low lying states so far, here we carried out the measurement of nuclear magnetic moments of 130Sn and 132Sn, by focusing on their higher spin isomeric states. The 130Sn and 132Sn isomers have excitation energies of 2435 keV and 4715 keV, half-lives of 1.6 μs and 20 ns, and spin-parity of 10+ and 6+, respectively.

        The experiments were conducted at the RIKEN RIBF. The nuclear moments of the 130Sn and 132Sn isomers were measured by means of the Time-Dependent Perturbed Angular Distribution (TDPAD) method and the Time-Dependent Perturbed Angular Correlation (TDPAC) method, respectively.

        In this poster, we will present the production of 130Sn and 132Sn isomers through the BigRIPS spectrometer, the principles and setup of the TDPAD and TDPAC measurements, and the prospects for future data analysis.

        Speaker: Ryusei Matsui (Kyushu University)
      • 59
        Effects of antisymmetric spin-orbit forces due to three-body nuclear forces using density functional theory

        Density functional theory, widely adopted in nuclear physics, incorporates many-body correlations by expressing the interaction between nucleons constituting a nucleus using a density-dependent Hamiltonian. In addition to two-body nuclear forces, three-body nuclear forces are known to be important in the interaction between nucleons, and density functional theories of the Skyrme and Gogny types have been proposed. The parameters related to the interactions that appear in the density functional are determined to reproduce the typical properties of nuclei, such as radius, density saturation, and mass. However, the strengths of the two-body and three-body nuclear forces used in the above density functional are determined in light of experimental facts about nuclei, and thus do not necessarily embody the actual properties of nuclear forces. Therefore, there have been active attempts to explain the properties of nuclei from realistic interactions. A study of large-scale shell model calculations using nuclear forces obtained from chiral effective field theory has revealed that three-body nuclear forces have a large influence on the spin-orbit splitting produced by spin-orbit forces, and in particular, the contribution of the vector component of three-body nuclear forces, called the antisymmetric spin-orbit force, is dominant. However, the nuclei investigated in this study are mainly limited to light nuclei, and the qualitative effects of three-body nuclear forces on spin-orbit splitting are not yet known for heavy nuclei. The purpose of this study is to formulate the antisymmetric spin-orbit force derived from chiral effective field theory based on density functional theory and to investigate its effect by adding it to the conventional density functional. The Skyrme-Hatree-Fock+BCS method is employed as the density functional to obtain single-particle energies and spin-orbit splittings for tin isotopes, which are medium-heavy nuclei. The results show that the antisymmetric spin-orbit force has the property of decreasing the radius of the nucleus and decreasing the single-particle energy. This is an effect that cannot be produced by the spin-orbit force due to the two-body nuclear force alone.

        Speaker: Hiroki Kida (Kyushu university)
      • 60
        Measurement of interaction cross sections for neutron-rich nuclei in the vicinity of Z=14 at RIBF

        The interaction cross section is a key physical quantity for deducing nuclear radii and plays an essential role in understanding nuclear structure, particularly for neutron-rich isotopes. In this study, we measured the interaction cross sections of Al, Si, and P isotopes near Z=14 to investigate their mass-number dependence and explore nuclear deformation effects.
        The experiment was carried out at the RI Beam Factory (RIBF) of RIKEN utilizing the BigRIPS separator. A primary 70Zn beam was accelerated to 345 MeV/u and directed onto Be target positioned at F0, generating a secondary beam that included the isotopes of interest. This secondary beam, with an approximate energy of 250 MeV/u, was subsequently transported through BigRIPS, where particle identification was achieved via the TOF-Bρ-ΔE method. The time-of-flight (TOF) was measured using plastic scintillators placed at the F3, F5, and F7 focal planes, while the energy loss (ΔE) was measured with ionization chambers (ICs) at F3 and F7.
        A wedge-shaped C target with a central thickness of 1.5 g/cm² was placed at the F5 focal plane. The interaction cross sections were determined using the transmission method, which evaluates the exponential attenuation of particle counts due to nuclear reactions within the target. By comparing the particle identification results before and after the target, the interaction cross sections were extracted.
        The obtained interaction cross sections exhibit an increasing trend with mass number. Further analysis will focus on extracting nuclear radii from the measured cross sections and exploring possible contributions from nuclear deformation and differences in proton and neutron distributions.

        Speaker: Kento Matsuyama (Tokyo city university)
      • 61
        Measurement of the interaction cross sections for nuclei near the N=Z line between 40Ca and 56Ni

        The interaction cross section is one of the physical quantities that can be used to deduce the nuclear radius, and its measurement contributes to the understanding of the structure of unstable nuclei. While charge radii provide information about the proton distribution, deriving nuclear matter radii from interaction cross sections allows us to gain additional insights into the neutron distribution inside the nucleus. Furthermore, a previous study [1] has reported a linear correlation in the charge radius difference of mirror nuclei as a function of isospin dependence. Investigating whether a similar correlation exists for nuclear matter radii may provide further insights into isospin symmetry breaking.
        In this study, we measured the interaction cross sections for the nuclei around 40Ca and 56Ni, as well as for their neighboring mirror nuclei, as part of the S3CAN (Symbiotic Systematic and Simultaneous Cross-section Measurements for All over the Nuclear Chart) program within the TRIP use case. The experiment was conducted at the RI Beam Factory (RIBF) of RIKEN using the BigRIPS separator. A 70Zn primary beam was accelerated to 345 MeV/nucleon and irradiated onto a beryllium target placed at F0, generating a secondary beam containing the nuclei of interest via projectile fragmentation. The secondary beam was transported through BigRIPS, where particle identification was performed using the Bρ-TOF-ΔE method. A wedge-shaped carbon target with a central thickness of approximately 1.5 g/cm² was placed at the F5 focal plane. By comparing the particle identification before and after the target, the interaction cross section was determined using the transmission method.
        We will discuss the mass-number dependence of the obtained interaction cross sections and derived nuclear matter radii, as well as the differences in nuclear matter radii between mirror nuclei.

        Reference
        [1] T. Li et al., Atomic Data and Nuclear Data Tables, 140, (2021) 101440.

        Speaker: Chinami Inoue (Tokyo City University)
      • 62
        Detailed in-beam gamma-ray spectroscopy of 32Mg and 30Mg

        In the so-called “island of inversion,” ground states of neutron-rich sd-shell nuclei around N=20 exhibit strong admixtures of intruder configurations involving the fp orbitals, leading to the breakdown of the N=20 shell gap. The nucleus 32Mg, which has played a central role in island-of-inversion studies, serves as an important benchmark for nuclear models and our understanding of evolving shell structure.
        We performed detailed in-beam gamma-ray spectroscopy of 32Mg using GRETINA at NSCL, primarily to determine spin-parity assignments of excited states in this key nucleus. Owing to the strong selectivity of direct nucleon removal reactions, the measurement has allowed us to construct a significantly updated level scheme, highlighting different structures coexisting in 32Mg. We will present findings from the latest spectroscopy of 32Mg [1], together with our earlier result on 30Mg [2] obtained from the same experimental setup, with an emphasis on the evolution of the fp orbitals.

        [1] N. Kitamura, K. Wimmer, A. Poves et al., Phys. Lett. B 822, 136682 (2021).
        [2] N. Kitamura, K. Wimmer, N. Shimizu et al., Phys. Rev. C 102, 054318 (2020).

        Speaker: Noritaka Kitamura
      • 63
        Study of triaxiality of 154Sm by low-energy electron scattering

        In the 1950s, Bohr and Mottelson established the picture that most heavy nuclei deform into a prolate shape consisting of one long axis and two short axes of equal length.
        However, the recent theoretical calculation by T. Otsuka et al.[1] indicates that these nuclei prefer a triaxial shape, with all three axes having different lengths. Additionally, the presence of excited states due to rotational bands in the short-axis plane caused by triaxial asymmetry has also been suggested.
        While 154Sm has long been regarded as a prolate nucleus, calculations by T. Otsuka et al. show that it weakly deforms into a triaxial shape, suggesting the existence of the excited state, 2gγ+, around Ex = 2.7 MeV. By measuring this excited state through low-energy electron scattering, we can determine the total angular momentum of this state by the momentum transfer dependence of the form factor.
        The experiment to measure this excited state is planned at RARiS, Tohoku University. We performed the test experiment in November 2024.
        From the measurement at 92 and beam energy 60 MeV, We didn't find peak of expected transition strength around Ex=2.7 MeV.
        This work will discuss the results obtained in this experiment and future studies.

        Reference
        [1] T. Otsuka et al., 2024, arXiv:2303.11299.

        K. Hotta, T. Otsuka1, T. Ohnishi1, T. Goke, R. Danjo, K. Tsukada2, Y. Honda, T. Muto, H. Yamauchi, K. Yoshimoto, C. Legris, T. Suda

        RARiS Tohoku Univ., RIKEN Nishina Center 1, ICR Kyoto Univ.2

        Speaker: Kengo Hotta (RARiS, Tohoku University)
      • 64
        Study of Nuclear Fragmentation using Isomeric States

        Nuclear fragmentation has been established as one of the most
        effective methods for producing fast beams of unstable nuclei at
        radioactive beam facilities. In nuclear fragmentation, a projectile
        nucleus collides with a target nucleus, producing fragments with
        significantly different proton and neutron configurations than the
        projectile.
        The objective of this study is to understand the reaction mechanism of
        fragmentation and explore new methods for producing a wider variety of
        unstable beams, including those of isomeric states. The availability
        of isomer beams is expected to broaden the scope of nuclear reaction
        and structure studies.
        The present study focuses on the roles of momentum and angular
        momentum transfer in nuclear fragmentation. This was achieved by
        investigating the production of nuclei around 52Fe.

        The experiment was performed at the SB2 course of HIMAC in Chiba. The
        primary beams of 58Ni and 59Co at 350 MeV/u bombarded a
        14-mm thick 9Be target.
        Fragments of 52Fe, 53Fe, and 54Co are momentum-analyzed
        by a magnetic fragment separator. The de-excitation gamma rays from
        52Fe(12+), 53Fe(19/2-), and 54Co(7+) were detected by
        four Ge detectors. Momentum distributions of these high-spin isomeric
        states and their ground states were extracted from the data.

        By selecting specific isomeric states and comparing their momentum
        distributions with those of the ground states, we identified a
        correlation between angular momentum and parallel momentum transfer.
        This finding is in line with a classical model where the angular
        momentum and parallel momentum transfer is modelled as occurring on
        the nuclear surface. We also found a correlation between isomeric
        ratios and angular momentum transfer.
        In this presentation, we summarize these findings and discuss the
        current understanding of reaction mechanisms of nuclear fragmentation.

        Speaker: Keita Kawta (RCNP)
    • session #8 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Prof. Stefan Frauendorf
      • 65
        Nuclear Mass and Fission-Fragment Studies based on the FRDM and FRLDM Models.

        Nuclear Mass and Fission-Fragment Studies based on the
        FRDM and FRLDM Models.
        Peter Möller
        Department of Mathematical Physics, Lund Institute of Technology,
        Box 118, SE - 22100 Lund, Sweden
        The latest FRDM and FRLDM global mass models were finalized in 2012 and pub-
        lished in 2016[1]. We investigate how the masses in the tables agree with subse-
        quently measured masses. The FRLDM model has been extensively applied to stud-
        ies of nuclear fission [2]. We comment on what those results indicate about possible
        additional observable elements beyond Z = 118. Furthermore, by implementing a
        random walk on the calculated five-dimensional potential-energy surfaces (the Brow-
        nian Shape Motion (BSM) model) fission-fragment mass and charge distributions are
        obtained [3, 4]. In its usual and historical formulation the fission potential-energy-
        model energies do not exhibit any properties of the emerging nascent fragments so
        no odd-even staggering in calculated fission-fragment charge distributions appears.
        We discuss some tweaks to the potential-energy and the BSM models that allow the
        modeling of odd-even staggering and the calculations of isotopic yields Y (Z, N) [5].
        We compare the calculations to recent, better-than-one-u resolution, experimental
        data.
        References
        [1] P. Möller, A. J. Sierk, T. Ichikawa, and H. Sagawa, Atomic Data and Nu-
        clear Data Tables 109–110 (2016) 1.
        [2] P. Möller, A. J. Sierk, T. Ichikawa, A. Iwamoto, R. Bengtsson, H. Uhrenholt,
        and S. Åberg, Phys. Rev. C 79 (2009) 064304.
        [3] J. Randrup and P. Möller, Phys. Rev. Lett. 106 (2011) 132503.
        [4] J. Randrup and P. Möller, Phys. Rev. C 88 (2013) 064606.
        [5] P. Möller and T. Ichikawa, Eur. Phys. J. A 51 (2015) 173.

        Speaker: Dr Peter Moller (Lund University)
      • 66
        Cluster aspects of ground and excited states: monopole and dipole excitations

        Nuclear systems show two kinds of natures, i.e., cluster and mean field aspects, providing rich phenomena in nuclei. The cluster aspect is found in ground state correlations, which induce nuclear deformations and polygon shapes such as the triangle of 12C and tetrahedron of 16O. In the excited states, it contributes to low-lying monopole and dipole excitations. Proton and alpha scattering reactions are useful in clarifying the properties of those cluster states. Particular attention is paid on the monopole transitions via inelastic scattering. The monopole mode in 8He is also discussed.

        Speaker: Yoshiko Kanada-En'yo (Kyoto University)
      • 67
        Understanding Shell Evolution: Where and How?

        Atomic nuclei are finite quantum many-body systems consisting of protons and neutrons. Their structures are governed by the strong interactions. Extensive experimental and theoretical studies over the past decades have yielded sophisticated phenomenological realistic nucleon-nucleon, as well as (semi-phenomenological) chiral two- and three-nucleon interactions. However, it is still not possible to understand even the nuclear structures of relatively light nuclei such as carbon and oxygen isotopes. The tensor interactions of the realistic nucleon-nucleon interactions, for instance, are suggested to play dominant role in the shell evolutions observed in the neutron-rich nuclei. Besides, the tensor interactions also generate high-momentum components in nuclei, but their effect on nuclear structure has been largely unknown. In this talk, I will present experimental studies on neutron-rich carbon isotopes [1,2], studies of tensor-force effect in 16O through high-momentum transfer (p,d) reactions [3,4] as well as ongoing and future plans at IMP, RCNP, RIBF and GSI-FAIR.

        Reference
        [1] D.T. Tran, H.J. Ong et al., Phys. Rev. C 94, 064604 (2016).
        [2] D.T. Tran, H.J. Ong et al., Nat. Comm. 9, 1594 (2018).
        [3] S. Terashima, L. Yu, H.J. Ong et al., Phys. Rev. Lett. 121, 242501 (2018).
        [4] H.J. Ong, I. Tanihata et al., Phys. Lett. B 725, 277 (2013).

        Speaker: Hooi Jin Ong (Institute of Modern Physics, Chinese Academy of Sciences)
    • 10:40
      coffee break Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • session #9 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Kouichi Hagino
      • 68
        An approach to particle vs collective motion in reaction theory
        Speaker: Prof. George Bertsch (University of Washington)
      • 69
        Electromagnetic responses of weakly-bound nuclei

        At the limit of stability, atomic nuclei can exhibit unique structure due to the proximity to the particle-
        decay threshold. In particular, if orbitals near the Fermi surface have low angular momenta, they can
        induce spatially extended wave functions for valence neutrons, forming nuclear halo. In light p and psd
        shells, halo nuclei have so far served as a benchmark for understanding of nuclear structure and
        dynamics of weakly-bound systems. However, for an unexplored heavier-mass neutron-rich region, halo
        formation and excitation properties can be more extensive than hitherto expected due to increasing
        degrees of collectivity and correlations.
        As a way to investigate the dynamics of neutron-rich weakly-bound systems, we have performed
        excited-state lifetime measurements on neutron-rich C and Ne isotopes [1,2,3]. The experiments were
        performed utilizing the combination of fast beams of rare isotopes, GRETINA, TRIPLEX plunger device
        and S800 Spectrograph. Experimentally extracted transition probabilities are used to characterize the
        electromagnetic responses of weakly-bound states through comparison with data available in
        neighboring nuclei as well as theoretical calculations. Examples of our recent results include an
        unexpectedly large E1 strength discovered in the neutron-rich 27 Ne isotope [2] as well as an enhanced E2
        strength observed for the 29 Ne isotope in the vicinity of N=20 [3].
        The experimental results will be presented and discussed in terms of an interplay between the shell
        erosion, deformation, and weakly bound nature of nuclei far from stability. Perspectives for ongoing and
        future studies at FRIB will also be discussed.

        [1] K.Whitmore et al., Phys. Rev. C 91, 041303(R), (2015)
        [2] C.Loelius et al., Phys. Rev. Lett. 121, 262501, (2018)
        [3] A.Revel et al., Phys. Lett. B838, 137704, (2023)

        Speaker: Prof. Hiro Iwasaki (FRIB/MSU)
      • 70
        Delta-isobar resonance effects on beta and double beta decays in medium heavy nuclei

        Astro-ν interactions are studied by inverse β decays and ν-properties beynod the standard model are studied by neutrinoless double beta decays (0νββ). The β and ββ nuclear matrix elements (NMES) consist mainly of the axial-vector spin (σ) isospin(τ) components, The delta-isobar (Δ) resonance excited by the quark τσ excitation of nucleon in the nucleus is shown to quench the axial-vector components of NMEs. The effects are evaluated by using experimental energies and the strengths of the Gamow-Teller (nuclear τσ) resonsnces. The quenching effect is incorpolated by the effective axial-vector coupling around gAeff 0.7±0.1 in units of gA for a free nucleon. Impact of the Δ resonsnce on neutrino studues in nuclei is discussed.
        H. Ejiri et al., Phys. Rep. 797, 1 2019, Phys. Rev. C105, L022501, C108, L11302 2023.

        Speaker: Hiroyasu Ejiri (RCNP Osaka Univ.)
    • 12:20
      Lunch break Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • session #10 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Prof. Bo Cederwall
      • 71
        Nuclear triaxiality: Wobbling, chirality and shape fluctuations

        The concepts of triaxiality and -softness are introduced based on the collective liquid model. Pertaining signatures are the quadrupole shape invariants derived from the E2 matrix elements, the energy ratios and the staggering of the energies of the band . Microscopic Triaxial Projected Shell Model (TPSM) calculations have been carried out for nine nuclei with extended sets of E2 matrix elements from COULEX.
        Good agreement with the TPSM energies and individual E2 matrix elements is found. Triaxiality and -softness are discussed based on the derived signatures. The classical wobbling mode of the triaxial rotor (TR) is defined and its appearance in the quantal TR states is visualized by means of the spin coherent state representation. The modification of wobbling by the presence of high-j quasiparticles is discussed in frame work of the particle+TR (PTR) model, which leads to the classification as transverse (TW) and longitudinal (LW) wobbling. The instability of TW with increasing angular momentum is discussed for 135 Pr.
        The microscopic TPSM calculations are consistent with the PTR results both accounting for the experiment. The TPSM resolves the apparent inconsistency of the PTR, which assumes a rigid TR core while the even-even neighbors display -softness, as the consequence of the missing exchange terms between the TR core and the valence quasiparticles.

        Speaker: Prof. Stefan Frauendorf (University of Notre Dam)
      • 72
        CP-odd nuclear moments evaluated by nuclear shell model

        Permanent electric dipole moment (EDM) of elementary or composite particle is one of the promising probe for CP violation in beyond the standard model. In particular, the EDMs of diamagnetic atoms including 129Xe and 199Hg are sensitive to the CP-odd interactions in the hadronic sector. The hadronic CP-odd interactions can induce the nuclear Schiff moment, which induces the atomic EDM through the interactions with electrons. We compute the Schiff moments of 129Xe and 199Hg by using the nuclear shell model. It is found that the theoretical uncertainty can be reduced by considering the apparent correlation with other observables like isoscalar dipole resonance, electric transition strengths, and magnetic moment.

        Speaker: Kota Yanase
    • Group photo Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • 14:45
      coffee break Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
    • session #11 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Hiroyuki Sagawa (RIKEN and University of Aizu)
      • 73
        Formation of superheavy element

        The production of a superheavy element in a fusion heavy-ion reaction schematically proceeds through the three stages: (i) the two colliding nuclei overcome the Coulomb repulsion and come in contact, (ii) the contact configuration evolves into a compact shape, (iii) the fused nucleus cools down by neutron evaporation. In the present presentation the second step is described in a new method [1], utilising the Langevin equation and random walk models. The two fragments come in contact with a large kinetic energy that is subject to dissipation and is transferred into heat. The dissipation process is described by the Langevin equation, where the friction strength depends on the necking of the combined object (window friction), and is characterised by drift-dominated dynamics in the center-of-mass direction. With no remaining kinetic energy several shape degrees of freedom can be explored, and the dynamics becomes diffusion dominated. The dynamics in five shape degrees of freedom is treated as Metropolis random walks, and if the inner saddle is crossed a fusion event has taken place. Quasi-fission competes with fusion events, and we count the relative number of fusion events, constituting a formation probability. The walks are controlled by calculated angular momentum dependent potential energies as well as pairing and shell-energy dependent level-densities in a large grid in deformation space, implying the fusion dynamics depends on temperature, pairing and shell structure.

        [1] M. Albertsson, B.G. Carlsson, T. Døssing, J. Randrup, D. Rudolph, and
        S. Åberg, Phys. Rev. C 110, 014624 (2024).

        Speaker: Sven Åberg (Mathematical Physics, Lund University)
      • 74
        Atomic nucleus at the edge of stability

        Loosely bound nuclei are currently at the centre of interest in low-energy nuclear physics. The deeper understanding of their properties provided by the shell model for open quantum systems changes the comprehension of many phenomena and offers new horizons for spectroscopic studies of nuclei
        from the driplines to the valley of β-stability, for states in the vicinity and above the first particle emission threshold [1,2]. Systematic studies in this broad region of masses and excitation energies will extend and complete our knowledge of atomic nuclei at the edge of stability.

        In this talk, I will review recent progress in the open quantum system shell model description of nuclear states. In particular, I will present selected applications of the shell model embedded in the continuum, the real-energy continuum shell model, and the complex-energy continuum shell model, the so-called Gamow shell model in the coupled-channel basis. Salient generic features will be illustrated on examples of (i) near-threshold collectivity and clustering, (ii) chameleon resonances, (iii) modification of effective NN interactions and shell occupancies in weakly bound/unbound states, (iv) exceptional point singularities in the continuum, (v) change of the electromagnetic transitions by the coupling to decay channels, and (v) low-energy reactions of astrophysical interest.

        [1] N. Michel, M. P{\l}oszajczak, \textit{Gamow Shell Model - The
        Unified Theory of Nuclear Structure and Reactions}, Lecture Notes in Physics \textbf{983} (Springer, Cham, 2021).

        [2] N. Michel, W. Nazarewicz, M. P{\l}oszajczak and T. Vertse, J. Phys. G: Nucl. Part. Phys., {\bf 36} (2008) 013101.

        Speaker: Marek Ploszajczak (GANIL)
      • 75
        Direct Reactions as Quantum Probes of Nuclei

        In studies of nuclear physics during the last decades, the area of nuclides in the nuclear chart available for experiments increases drastically because of developments of rare isotope beam facilities as well as of experimental technique. Systematic studies of nuclear structure are performed as a function of numbers of protons and neutrons, which show evolution of structures, exotic phenomena and so on. Among various kinds of nuclear reactions, direct reactions are unique and important tools for studying quantum properties of nuclei, where actions with certain quantum numbers are instantaneously applied to nuclei.
        In this talk, I will present examples of direct reactions in these days based on the view that such reactions provide sudden transition to the target with various quantum numbers.

        Speaker: Prof. Susumu Shimoura (RIKEN/RCNP-Osaka/CNS-Tokyo)
      • 76
        Shape coexistence of octupole shapes in the superheavy nucleus 286No

        Covariant density functional theory is applied on a three-dimensional lattice in a microscopic and fully self-consistent manner, without imposing any symmetry restrictions [1], to investigate the superheavy nucleus 286No. Our findings reveal that the ground state exhibits a distinct non-axial octupole shape, which coexists with a tetrahedral isomeric state. The energy difference between these states is merely 0.12 MeV, and they are separated by a potential barrier of approximately 0.5 MeV. We analyze the presence of octupole correlations by examining the evolution of single-particle levels near the Fermi surface, which are influenced by octupole deformations [2].
        [1] B. Li, Z.X. Ren, P. W. Zhao, Phys. Rev. C 102 (2020) 044307
        [2] F. F. Xu, B. Li, P. Ring, P. W. Zhao, Phys. Lett. B 856 (2024) 138893

        Speaker: Peter Ring (Technical University Munich, Peking University)
    • Banquet Aizu Washington hotel

      Aizu Washington hotel

    • session #12 Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      Convener: Benjamin Kay (Argonne National Laboratory)
      • 77
        Role of triaxiality in deformed halo nuclei

        It is known that nuclear deformation plays an important role in inducing the halo structure in neutron-rich nuclei by mixing several angular momentum components. While previous theoretical studies on this problem in the literature assume axially symmetric deformation, we here consider non-axially symmetric deformations. With triaxial deformation, the Ω quantum number is admixed in a single-particle wave function, where Ω is the projection of the single-particle angular momentum on the symmetric axis, and the halo structure may arise even when it is absent with the axially symmetric deformation. In this way, the area of halo nuclei may be extended when triaxial deformation is considered. We demonstrate this idea using a deformed Woods-Saxon potential for nuclei with neutron number N=13 and 43.

        Speaker: Kotaro Uzawa (Kyoto Univ.)
      • 78
        DIrect Mass measurments of fp-shell nuclei in the vicinity of proton dripline via TOF-Brho method

        The two-proton radioactivity (2p decay), where two protons are simultaneously emitted
        during nuclear decay, was theoretically predicted over 60 years ago[1]. In the early 2000s,
        2p decay was discovered in very proton-rich nuclei such as 45Fe and 48Ni [2, 3]. The en-
        ergy level structure and one- and two-proton separation energies (Sp, S2p) are essential to
        evaluate the two-proton emission probability of the 2p emitter penetrating through the
        Coulomb and centrifugal potentials. Since the level structure and mass difference among
        one- and two-proton removal nuclei are directly related to Sp and S2p, the systematic mea-
        surement of the masses of nuclei around the 2p emitter leads to a complete understanding
        of 2p decay.
        We performed direct mass measurements of proton-rich Fe isotopes including 45Fe us-
        ing the TOF-B? technique[4] at the SHARAQ beamline of RIBF. Proton-rich isotopes
        were produced by the fragmentation of the 78Kr primary beam at 345 MeV/nucleon in a
        9Be target with a thickness of 2.2 g/cm2. The fragments were separated by the BigRIPS
        separator and transported to the OEDO beam line followed by the SHARAQ spectrom-
        eter. OEDO and SHARAQ were operated as a single spectrometer in the dispersion
        matching mode, which achieved a momentum resolution of 1/15,000. The time of
        ight
        (TOF) was measured by diamond detectors installed at the beginning and end of the
        beamline. Two multiwire drift chamber (MWDC) tracking detectors were also installed
        to correct the
        ight-pass length. To measure the B? value, a strip-readout parallel-
        plate avalanche counter (SR-PPAC) newly developed for measuring high-rate heavy-ion
        beams[5] was used at the intermediate focal plane. Gamma-ray detection systems were
        placed after the SHARAQ to identify isomers, which could shift the peak in the measured
        mass spectra.
        Proton-rich Ti, Cr, Fe, and Ni isotopes were detected in the vicinity of the proton
        drip line. Masses of nine isotopes were newly determined for the ?rst time in the present
        experiment. The separation energies deduced from the mass values exhibit the possible
        candidates of 2p decay in some proton-rich isotopes beyond the dripline.
        This work is supported by JSPS KAKENHI Grant Number JP20H01910 and JP23KJ0609.
        References
        [1] V. I. Goldanskii et.al., Nucl. Phys. 19, 484 (1960).
        [2] C. Dossat et.al., Phys. Rev. C. 72, 054315 (2005).
        [3] K. Miernik et.al., Eur. Phys. J. A 42, 431-439 (2009).
        [4] S. Michimasa et al., Phys. Rev. Lett. 121, 022506 (2013).
        [5] S. Hanai, et al., Prog. Theo. Exp. Phys. 2023, 123H02 (2023).

        Speaker: Shutaro Hanai (CNS, the University of Tokyo)
      • 79
        Deformation driven neutron halos
        Speaker: Prof. Takashi Nakamura (Institute of Science)
    • Award ceremony and closing Main Lecture Hall

      Main Lecture Hall

      University of Aizu

      90 Kamiiawase, Tsuruga, Itsukimachi, Aizu-Wakamatsu, Fukushima, 965-0006 Japan.
      • 80
        Award ceremony
        Speakers: Nori Aoi (RCNP), Takashi Nakamura (Institute of Science Tokyo)
      • 81
        Closing
        Speakers: Daisuke Suzuki (RIKEN Nishina Center), Hiroyuki Sagawa (RIKEN and University of Aizu), Masayuki Yamagami (University of Aizu)