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 today’s 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
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)
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.
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,
Here, we study the effects of extending the configuration space: pf-shell components are included to evaluate GT
Next, we discuss the quenching of the strength in forbidden transitions.
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[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),
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.
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).
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.
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).
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.
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).
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.
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
Recent spectroscopic measurements in neutron-rich
In this contribution, we will present the results of low-lying states in
[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).
One of the long-standing subjects of nuclear physics is the exotic structure of nuclei located far from the
So far, we have successfully applied this method to the
In this presentation, the experimental methods and the structures of Mg and Al isotopes will be discussed.
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.
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
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
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).
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
The
The experiment was performed at RIPS course of the former RIBF, the RARF, in RIKEN. The high intensity (200~kcps)
The de-excitation gamma ray from the 4.8-MeV excited state is clearly observed. The spin-parity of this state is assigned as
In this paper, we discuss dynamical shape transition in
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
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
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
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.
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
The tensor force has been pointed out to give rise to proton- (
(Based on the paper to appear in Phys. Rev. C, available as arXiv:2407.05524.)
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.
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 (
Hauser-Feshbach statistical model calculations [3] showed that the
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)
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.
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.
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.
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,
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
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
[1] K. J. Cook et. al., Phys. Rev. Lett. 124, 212503 (2020)
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
A fusion reaction using
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/cm
References :
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).
We have performed a Coulomb excitation experiment of
determined its
the Ti isotopes towards
The neutron number
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
which shows magic nature having small collectivity compared to
the surrounding Ni isotopes.
Fe(
It is interesting to see if the magic
nature restores again or not in Ti isotopes (
edge (
which are the most direct indicators of collectivity, have been
obtained up to
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.
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).
We report on the kinematically complete measurement of the Coulomb breakup of the two-neutron halo nucleus
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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.
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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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
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
The first experiment using the double charge exchange reaction of (
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
In this contribution, we will report the outline of the experiment and the analysis.
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.
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 (
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).
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
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In this study, we discuss the shell structure at
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.
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.
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.
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.
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
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).
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
Previous studies
In this study,
Reference
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
As neutron-rich nucleus
In order to construct the decay scheme of
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, $
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/q
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 $
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. Tsukada
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
Exploring the nuclear shell structure of neutron-rich
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
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.
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[4] J. Tanaka, Z.H. Yang et. al, Science 371, 260-264 (2021).
The doubly-magic nucleus
The experiments were conducted at the RIKEN RIBF. The nuclear moments of the
In this poster, we will present the production of
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.
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.
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.
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).
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
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
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. Otsuka
RARiS Tohoku Univ., RIKEN Nishina Center
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
The experiment was performed at the SB2 course of HIMAC in Chiba. The
primary beams of
14-mm thick
Fragments of
by a magnetic fragment separator. The de-excitation gamma rays from
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.
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.
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[5] P. Möller and T. Ichikawa, Eur. Phys. J. A 51 (2015) 173.
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
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).
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)
Astro-
H. Ejiri et al., Phys. Rep. 797, 1 2019, Phys. Rev. C105, L022501, C108, L11302 2023.
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.
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
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).
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
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.
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.
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
[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
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.
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
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[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).