Dear Colleagues,
The 19th CNS International Summer School (CNSSS20), co-hosted by Center for Nuclear Study, the University of Tokyo and by JSPS A3 Foresight program, will be held for Aug.17 - Aug.21, 2020. The school is supported by RNC and to be cooperated by ANPhA. We decided to have online school to keep social distance for COVID-19.
The lecturers of the CNSSS20 include,
Prof. Or Hen (MIT, USA) "Nuclear correlation via electron beams"
Prof. Hiroari Miyatake (WNSC, KEK, Japan) "Energy-dessipated nuclear reactions"
Prof. Kazuyuki Ogata (RCNP, Osaka University, Japan) "Knockout-reaction with RIB"
Prof. Kazuyuki Sekizawa (Niigata University, Japan) "Time-Dependent Microscopic Approaches for Nuclear Dynamics: From Nuclei to Neutron Stars"
Dr. Tetsuya Sato (JAEA, Japan) "Nuclear Chemistory of super heavy elements"
Dr. Thomas Chillery (U. of Edinburg, UK) "Nuclear astrophysics at LUNA"
Dr. Sarah Naimi (RIKEN, Japan) "Overview of RIBF"
The registration is now open from Registration section of the web page. The information about the video conference room will be informed only to the registrants.
As the past CNSSS, we will have young scientist sessions where the Ph.D students and Post-docs contribute to oral presentation. From 2018 we select a few persons from the poster and oral presentations as the winners of “CNSSS Young Scientist Awards”. The certificate will be given to the winners. For the best presentation, AAPPS-DNP/ANPhA award for young physisit is also presented.
We’re looking forward to seeing you at the school.
With best regards
A3F-CNSSS20 Organizing Committee
In accelerator physics, particle beams require constant fine tuning for nominal operation. As such, beam monitoring carries great importance. Detectors with position measurement capabilities are required to enact such beam diagnosis whilst causing minimum disruption to the beam quality. A detector of this type is required at the Rare Radio-Isotope Ring at the Radio Isotope Beam Factory (RIBF) in Japan, specifically with a large effective area, to extract position information. This must achieve the positional resolution of the current standard detector to be successful. A Delay Line Electric-field Micro Channel Plate type Detector was chosen for its precision potential while maintaining such a large area. The chosen detector is described along with motivations and improvements that will be made to increase its resolution. In addition, a section considering non-destructive techniques for monitoring the beam are evaluated with regards to their potential use at the RIBF. It is deemed that most are too underdeveloped however the cavity beam position monitor holds exciting potential.
High-intensity radioactive isotope (RI) beams provide various opportunities to perform important studies of nuclear physics. In the experiment, position detectors have an essential role in the measurement of momentum and emittance, and particle identification. Common technique used for position deduction in conventional detectors such as Delay-line parallel plate avalanche counter (DL-PPAC) and Multi-wire drift chamber (MWDC) is based on time difference between the arrival time of the particle at the detector and the signals at the readout circuit. However, in this method, the plie up of signals is not negligible when the beam intensity is about 10^{6} Hz owing to the signal delay.
We have developed Strip-Readout PPAC (SR-PPAC) for the achievement of almost 100% detection efficiency even for the high-intensity RI beam near 10^6 Hz.
Fast electron pules collected directly from each strip of the cathode and the distribution of induced charge on the electrode are used for the position deduction.
The principle of SR-PPAC and its performance evaluation will be presented in this talk.
Ionization chambers are often used as
Pfutzner et al. proposed that the high energy resolution of the ionization chamber is caused by the escape of high energy electrons (
The experiment was performed at HIMAC(NIRS).The projectile fragments were produced by a 420-MeV/nucleon
In this study, we compared the experimental values of the energy resolutions with the Monte Calro simulation of charge fluctuations in the ionization chamber.In this presentation, we will report these results.
References
In this study we estimated the astrophysical rates of the
Keywords: mass uncertainty, reaction rates, rp-process, MR-TOF technique, exotic isotopes, timing spread, resolving power.
A new plunger based facility has been recently developed at Institute of Modern Physics (IMP), Lanzhou. This facility will be used to measure the nuclear level lifetimes in ns-ps range and the g-factor, providing deep insight into the study of nuclear wave functions and structure of nucleus. It is based on the plunger technique of Alexander and Bell [1], well known at present for the measurement of lifetimes depending on the Doppler shifts of γ-rays emitted during the reaction [2-4] based on Recoil Distance Method (RDM). The detailed explanation of the above mentioned technique, its application in nuclear gamma spectroscopy and the related data analysis can be found in the refs. [1, 2, 5] . At IMP, the newly designed plunger follows the principle of capacitance measurement measuring the minimum distance in between the two parallel foils, making the capacitance. Minimum the distance measured between the foils allow to measure shorter lifetimes for the decaying state produced during the reaction.
This setup consists of a PI-Q521 motor, capable of moving in the range of 32 mm in total with a step accuracy of 2 nm. The two foils i.e. target and stopper are mounted on this motor with some special type of structure designed using Inventor 2019 tool. The designed setup is quite small in size and the foils used for making the parallel arrangement are also very thin having thickness ranging from μg/cm2 to mg/cm2, depending on the requirement of study. So, this setup requires high level of expertise and care for handling the motion of motor and the foils stretched with specially designed cones for this purpose. For controlling the motion of motor, LABVIEW based program has been developed which not only controls the motion but also has been upgraded to keep an eye on the variation of capacitance observed due to some mechanical disturbance arising during the experiment. This designed setup has been recently used for an in-beam test experiment to test the proper working of motor, physical effect on the foils with incident beam, to observe the capacitance fluctuations and the LABVIEW based feedback program to minimize the effects due to mechanical disturbances. During test run, positive results have been observed with some small issues needed to be rectified before performing the other in-beam experiment focusing on lifetimes as well as g-factor measurement. In near future, this newly designed setup will allow us to measure the lifetimes based on RDM technique, and the g-factor of short-lived excited states employing the Time Differential Recoil in Vacuum technique (TDRIV) [6, 7] providing indispensable information for rigorous tests of the nuclear models. There is also plan of using this setup with radioactive ion beams available at IMP, China and Research Center for Nuclear Physics (RCNP), Japan.
References:
1. T.K. Alexander, A. Bell, Nucl. Instr. Meth. 81 (1970) 22.
2. A. Dewald et. al., Progress in Particle and Nuclear Physics 67 (2012) 786-839.
3. J. J. Valiente-Dobon, et. al., Phy. Rev. Lett. 102 (2009) 242502.
4. J. Ljungvall, et. al., Phy. Rev. C 81 (2010) 061301(R).
5. A. Rohilla, et al., Phys. Rev. C 100 (2019) 024325; Eur. Phys. Jour. A 53 (2017) 64.
6. A. Kusoglu, et. al., Phys. Rev. Lett. 114, (2015) p. 062501.
7. A. E. Stuchbery et al., Phys. Rev. C 71 (2005) 047302.
Processing of spent fuel from nuclear power plants is a worldwide problem. The high-level radioactive waste is the product after the reprocessing of spent fuel, which includes minor actinides and fission products of radioactive waste. Especially,
To realize this purpose, we have planned the proton- and deuteron-induced reaction-cross-section measurements in inverse kinematics and performed the experiment using the BigRIPS separator [1] and the ZeroDegree spectrometer [1] at the RIKEN Radioactive Isotope Beam Factory. The radioactive
[1] T. Kubo, et al., Progr. Theor. Exp. Phys. 2012, 03C003 (2012).
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The proton is one of the essential bricks of matter, alongside with neutron; we know its mass, its charge but not its radius. Before 2010, the proton charge radius was thought to be known by physicists, measurements of the proton charge radius converged to a value of 0.8775±0.051 fm [1] using two different methods: electron scattering and hydrogen spectroscopy. However, in 2010 a German team measured a radius of 0.84087±0.0039 fm with a new experiment based on muonic hydrogen spectroscopy [2]. Since then, many experiments were conducted and obtained results consistent with one of the two previous values. Until now this discrepancy remains a mystery.
At ELPH (Research Center for Electron Photon science), we aim at measuring the proton charge radius using electron scattering. The proton charge radius can be deduced from the charge form factor of the proton obtained from the absolute cross-section measured in a very small 4-vector transferred-momentum range. By sending extremely low-momentum electrons (between 20 and 60 MeV/c) on a polyethylene target, we can realize extremely low transfer-momentum scattering and obtain the proton charge radius with great precision. To prepare the experiment, we simulated the experiment with Geant 4 and calculated the momentum dispersion and the momentum resolution of the spectrometer. These results confirmed that the characteristics of the spectrometer allow us to measure the proton charge radius with the required precision.
[1] CODATA 2010: https://physics.nist.gov/cuu/Constants/Preprints/lsa2010.pdf
[2] Pohl, R., Antognini, A., Nez, F. et al. The size of the proton. Nature 466, 213–216 (2010). https://doi.org/10.1038/nature09250
The
To make the tests of these models possible, we've conducted an experiment at RIKEN-RIBF. The nucleus of interest was produced using a
The experiment significantly increased our knowledge on the structure of the daughter nucleus populated in the
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George Gamow, about 90 years ago, famously proposed an explanation of α decay phenomena utilizing the quantum tunneling effect of preformed α particles[1]. Since then, α clusters are considered as a prerequisite in heavy nuclei, but the clear experimental evidence of its existence has not been reported until today. Instead, α clustering at the low-density nuclear surface could be one plausible explanation for the origin of preformed α particles[2]. In a recent experiment studying quasi-free α-knockout reactions on tin isotopes - Sn(p, pα), the existence of α particles on the nuclear surface in the ground state of tin isotopes was clarified. The observed reaction cross sections exhibit a monotonous decrease with increasing mass number (A = 112-124), which agrees with the theoretical prediction[3]. This experimental result supports the close correlation between surface α-clustering and neutron-skin thickness in heavy nuclei. This, in turn, calls for a revision of the correlation between the neutron-skin thickness of heavy neutron-rich nuclei, and the density dependence of the symmetry energy in the nuclear equation of state[4], which at present relies on mean-field theories without considering the α- clustering effect. In the presentation, the experimental spectrum for Sn(p, pα) reactions using Grand Raiden[5] and LAS[6] spectrometers at RCNP (Research Center for Nuclear Physics, Osaka University) are shown. We will discuss in details our results and the future experiments using exotic alpha-unstable beams.
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Recent years, there are several researches [1-3] studying on the effect of nuclear tensor force in nuclear structure. Few attempts [4-6] have been made to fit the phenomenological Skyrme parameterization with the inclusion of the nuclear tensor term. However, a complete and systematic work to examine the role of nuclear tensor force in the rare-earth region is still lacking. This work aims to examine the effect of nuclear tensor force in the ground-state properties of rare-earth even-even nuclei. This is done within a Skyrme-Hartree-Fock-plus-Bardeen-Cooper-Schrieffer (HF+BCS) framework. The pairing correlations are taken care with the BCS theory. The Skyrme interaction is used to approximate the nucleon-nucleon interaction with various sets of parameterizations. At the moment, this work only considered the parameterization fitted through the perturbative addition of nuclear tensor term. The parameterization considered herein are divided into two sets namely, Set A (SIII and SIII+T) and Set B (SLy5 and SLy5+T) to examine the effect of nuclear tensor force on the ground-state properties. The considered ground-state properties here are binding energy, two-nucleon separation energy, nuclear charge radii and intrinsic charge quadrupole moments. The inclusion of nuclear tensor force has a better agreement with the experimental data but not for all cases. The good agreement between calculated and experimental data are sometimes degraded when taking into account nuclear tensor force. However, the results from this work is still preliminary as one should employ a full refit of all Skyrme parameters such as the TIJ sets [5].
References:
1. Shen, S., Liang, H., Meng, J., Ring, P. and Zhang, S. Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations. Physics Letter B, 2018. 778: 344–348
2. Bernard, R. N. and Anguiano, M. Interplay between tensor force and deformation in even-even nuclei. Nuclear Physics A, 2016. 953: 32–64
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5. Lesinski, T., Bender, M., Bennaceur, K., Duguet, T. and Meyer, J. Tensor part of the Skyrme energy density functional: Spherical nuclei. Physical Review C, 2007. 76: 014312.
6. Stancu, F., Brink, D. M. and Flocard, H. The Tensor Part of Skyrme’s Interaction. Physics Letters B, 1977. 68(2): 108–112.
A strong depletion of the nuclear central density can have nuclear structure effects leading to the formation of "bubble" nuclei. Nonetheless, probing the density profile of the nuclear interior is, in general, very challenging. We shall illustrate that the high-energy nucleon-nucleus scattering under the aegis of the Glauber model offers a unique and practical way to quantify the nuclear bubble. The effectiveness of this method is tested on
Abstract: The enhancement of the low-lying E1 (electric dipole) strength above the one-nucleon emission threshold is known to be a unique feature of halo nuclei and is often studied via Coulomb breakup reactions. The low-lying E1 strengths has been studied very well both theoretically and experimentally for the lighter nuclei such as 6He, 11Li, 11Be, 15C, and 19C [1]. Due to advancements in the Radioactive-ion beam (RIB) facilities, these studies have been recently extended to the medium-mass nuclei lying in the island of inversion. In view of these recent developments, we have studied the E1 responses for 31Ne, 34Na, and 37Mg using a simple analytic model and finite-range distorted-wave Born approximation theory of the Coulomb dissociation [2]. We will report our recent results for the E1 response of these weakly-bound systems and their scaling phenomenon with parameters such as the binding energy and deformation [2]. Along with this, we will also briefly discuss our new results for speculated moderate halo 29Ne [3].
References:
1. T. Aumann, Eur. Phys. J. A 55 (2019) 234.
2. Manju, Jagjit Singh, Shubhchintak, and R. Chatterjee, Eur. Phys. J. A 55
(2019) 5.
3. Manju, M. Dan, G. Singh, Jagjit Singh, Shubhchintak, and R. Chatterjee,
under review.
Since the discovery of deep inelastic scattering in 1970s, it has been recognized that energy dissipation plays a crucial role in fusion reactions at energies well above the Coulomb barrier. In order to simulate its effects on the dynamics of relative motion, the Langevin method has successfully been applied to various dissipative nuclear reactions including fusion [1].
Recent experimental studies of multi-nucleon transfer have shown an importance of energy dissipation at slightly above barrier energies [2] and even at sub-barrier energies [3]. Since quantum treatment is required to describe fusion reactions in this energy region, the Langevin method, which is based on the classical equation of motion, is inapplicable. The conventional coupled-channels approach, on the other hand, is based on quantum mechanics [4], but it fails to describe energy dissipation.
To incorporate energy dissipation into the formalism of quantum mechanics, we utilize the bath-oscillator model, which has extensively been employed to study quantum non-equilibrium systems [5]. With a new numerical technique developed by us [6], we carry out a benchmark calculation of dissipative fusion reactions. In the present presentation, we shall describe the details of the model and discuss the role of energy dissipation.
References:
[1] D.A. Bromley, Treatise on Heavy-Ion Science Volume 2, (Plenum Press New York, 1984).
[2] T. Mijatovic, et al., Phys. Rev. C 94 (2016) 064616.
[3] D.C. Rafferty, Energy dissipation in multinucleon transfer reactions, Doctoral thesis, Australian National University (2020).
[4] K. Hagino and N. Takigawa, Prog. Theor. Phys. 128 (2012) 1061.
[5] U. Weiss, Quantum Dissipative Systems, (World Scientific, 2008).
[6] M. Tokieda and K. Hagino, Ann. of Phys. 412 (2020) 168005.
For a nucleus, B, which can be modeled as composed of a core nucleus A and a valence particle x (B = A + x), we derived the relation between the root mean square (rms) radius of the single particle wave function of x in B and the rms radii of nucleon density distributions of B, A and x. This relation allows one to determine the radii parameters of the single particle potentials (SPPs), which are usually not well confined in direct nuclear reaction calculations, with the radii of nucleon density distributions of atomic nuclei, and puts the resulting parameters on a sound physical ground.
The quenching single-particle strength and its proton-neutron asymmetry dependence is an interesting topic in the last decade. It is well known that results from transfer reactions and nucleon removal do not agree with each other. Recently, the proton-induced nucleon knockout
In our study, we have analyzed the
The weakly bound nuclei with relatively low binding energy and a greater breakup possibility, such as 6Li,7Li, 9Be, will result in complex reaction processes, such as CF (complete fusion), ICF (incomplete fusion), NCBU(non-capture breakup) and transfer processes, etc. The transfer reaction includes stripping and pickup processes. From the above processes, the reactions induced by weakly bound nuclei can produce the same residues. Therefore, different processes cannot be separated by only measuring the characteristic -rays. The 6Li + 209Bi experiments were performed at the Tandem-XTU accelerator of Legnaro National Laboratory of INFN in Italy. In this experiment, several gamma rays of 10B are observed. There are several possible reactions to form 10B. First of all, 6Li reacts with the 209Bi target, 6Li + 209Bi →10B + 205Tl, which is direct a pickup reaction channel. Besides, 6Li reacts with the 12C foil, it also has two reaction channels, (1) 6Li + 12C →18F → 10B + 2α, which is fusion-evaporation reaction, (2) 6Li + 12C →10B + 8Be (2α), which is a direct deuteron/alpha pickup reaction, one-step process. It should be noted here that α pickup and deuteron pickup reaction can lead to the same products. All of the above processes can produce the 10B nucleus. It is difficult to give a very clear origin of 10B only on basis of gamma ray analysis. A coincident method of gamma rays with light charged particles can further select the reaction channels.
Direct transfer of neutrons involving stable and radioactive weakly bound projectiles have been investigated in the past few years to contribute to the reaction and scattering mechanisms. At the energy around the Coulomb barrier, the neutron transfer reaction may cause the fission reaction and the enhancement of fusion cross sections to some systems, and the influence of neutron transfer on the fusion reaction can not be ignored. In this study, we adopted online gamma ray method to measure the 1n stripping to respectively product 95,97Zr of 6Li+94,96Zr around the Coulomb barrier. The experiment was performed at the HI-13 Tandem Accelerator of the China Institute of Atomic Energy (CIAE) in Beijing. It is found that the cross sections of 1n stripping of 6Li + 96Zr are smaller than that of complete fusion reaction at energies above the Coulomb barrier, however, at energies around the Coulomb barrier the cross setions of 1n stripping have the same magnitude with that of complete fusion. The transfer process gives a important contribution at energies around the Coulomb barrier. In 6Li + 94Zr, the preliminary results have been obtained. The correction of Gamma ray angular distribution and the determination of energy levels will be considered on basis of the current results. A systematic behavior of 1n stripping on Zr targets can be explored.
Investigation of fusion reaction induced by weakly bound nuclei is one of important topics in recent years. Because weakly bound nuclei break up before entering the fusion barrier, the incident flux of the complete fusion reaction channel is reduced. Therefore, the complete fusion cross section occurs suppression phenomenon. In order to study the suppression factor of complete fusion cross section on medium mass target nuclei, the complete and incomplete fusion cross section of 6Li+94,96Zr have been measured by online gamma ray method at the HI-13 Tandem Accelerator of the China Institute of Atomic Energy (CIAE) in Beijing. It is found that the suppression factor of complete fusion of 6Li+96Zr is around 25% [1] which is smaller than that on heavy target nuclei(~40%). In 6Li+94Zr, the angular distribution of gamma rays and angular momentum distribution of compound nuclei will be considered in the experimental results. A systematical behavior of suppression factor of complete fusion on Zr isotopes will be studied.
References:
[1]S. P. Hu et.al.,Phy. Rev. C 91 (2015) 044619.
Fusion mechanism of weakly bound stable (
References:
[1] L. F. Canto et al., Phys. Rep. 596, 1 (2015).
[2] R. Prajapat and M. Maiti, Phys. Rev. C 101, 064620 (2020).
[3] R. Prajapat and M. Maiti, Phys. Rev. C 101, 024608 (2020).
In heavy-ion induced reactions, sub-barrier fusion plays a crucial role in studying the static and dynamic properties of the nucleus and understanding the astrophysical processes in the steller environment [1]. However, the sub-barrier mechanism is not yet fully explored due to insufficient systematic studies and experimental measurements [2,3]. To unravel the role of positive Q-value neutron transfer channels in sub-barrier fusion enhancement, the fusion cross-sections of 35,37Cl + 130Te systems have been measured from 10 % below to 15% above the barrier using Heavy-Ion Reaction Analyzer at Inter-University Accelerator Centre (IUAC), New Delhi, India. 130Te targets were prepared by employing resistive evaporation techniques [4]. Experimentally measured fusion excitation functions of 35,37Cl + 130Te systems were compared to probe the role of neutron transfer channels in sub-barrier fusion. The comparison particularly interesting because 35Cl + 130Te system has six positive Q-value neutron transfer channels compared to none in 37Cl + 130Te system [5].
In comparison, it has been found that the reduced fusion excitation function of 35Cl + 130Te system shows a significant enhancement over the 37Cl + 130Te system at sub-barrier energies, which suggests the strong influence of positive Q-value of neutron transfer channels in sub-barrier fusion enhancement. Further, the analysis of the excitation functions, including inelastic excitations of interacting nuclei in coupled-channels calculations, indicates the importance of neutron transfer channels in sub-barrier fusion enhancement [6,7]. The experimental findings and detailed analysis of this work will be discussed during the presentation.
References:
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[2] C. L. Jiang et al., Phys. Rev. Lett. 113, 022701 (2014).
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[4] Rudra N. Sahoo et al., Nucl. Instrum. Methods A 935, 103 (2019).
[5] Rudra N. Sahoo et al., JPS Conf. Proc. 32, 010016 (2020).
[6] Rudra N. Sahoo et al., accepted in Phys. Rev. C (2020).
[7] Rudra N. Sahoo et al., Phys. Rev. C 99, 024607 (2019).
Abstract
Fusion reactions induced by Heavy Ions play a role of paramount importance in nuclear physics, as they help the nuclear physicists to study the properties of superheavy nuclei near and away from the stability line. In the reactions involving heavy ion projectiles such as 12C, 13C, 16O, 18O etc., and heavier mass targets at projectile energies below 8 MeV/nucleon, the two most dominant reaction modes are complete fusion (CF) and incomplete fusion (ICF) [1-3]. Study of these fusion reactions has remained the subject of enormous interest for both theoretical and experimental nuclear physicists over the past two decades. Various efforts have been made to comprehend the CF and ICF reaction dynamics since its first observation. However, due to lack of proper theoretical model below 8 MeV/nucleon, which may reproduce the experimentally measured ICF data satisfactorily, the study of CF and ICF is still an interesting area of research work [1-6]. In order to develop a proper theoretical model, the ICF dependence on entrance channel parameters such as projectile energy, mass asymmetry of interacting nuclei, Coulomb effect (ZPZT), projectile Qα-value, target deformation and input angular momentum values needs to be systematically investigated. Keeping the above mentioned aspects into consideration and to have better understanding of CF and ICF, the excitation function of the evaporation residues populated in 12,13C with 165Ho target have been studied. The interesting results have been obtained, which will be discussed during the presentation.
References
1. Suhail A. Tali et al., Phys. Rev. C 100, 024622 (2019).
2. Suhail A. Tali et al., Nucl. Phys. A 970, 208 (2018).
3. Harish Kumar et al., Phys. Rev. C 99, 034610 (2019).
4. Pankaj K. Giri et al., Phys. Rev. C 100, 024621 (2019).
5. D. Singh et al., Phys. Rev. C 97, 064610 (2018).
6. Abhishek Yadav et al., Phys. Rev. C 96, 044614 (2017).
The evolution of the traditional nuclear magic numbers away from the valley of stability is an active field of research. Experimental efforts focus on providing key spectroscopic information that will shed light into the structure of exotic nuclei and understanding the driving mechanism behind the shell evolution.
Recently,
We work upon the model of a two-state mixing of pure proton and pure neutron excitations to describe excited 2
In this contribution, I will present the current status of the experimental investigation of the structure of unbound states of
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We performed exclusive measurements of breakup reactions of 6He into 4He+2n on CH2, C, Sn, and Pb targets at 184 MeV/nucleon using the SAMURAI setup at the RI-beam factory (RIBF).
The highest-statistics experiments in these reactions owing to the combination of NeuLAND and NEBULA neutron detector arrays [1, 2] allowed us to study in detail these breakup reactions, the low-lying excited states, and their decays of neutron-halo nucleus 6He. In this presentation, the spectra of the excited state of 6He and the inclusive cross-section for each reaction target will be discussed.
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The tetraneutron(
We carried out new measurement on tetraneutron by using the
The multi-neutron analysis is now in progress, and some preliminary results will be presented.
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It is known that the nucleus becomes superfluid state when nucleus receives the effects of pair correlation, and this effects is important for experimentally and theoretically understanding the properties of the nucleus. Due to the spontaneous symmetry breaking, the pairing correlation energy can be expressed by a Mexican hat potential, and the phase mode (a Nambu-Goldstone mode) and the amplitude mode (a Higgs mode) of the pairing fluctuation appear. In the present work, we study the static polarizability of nuclei with respect to various types of pair fields, and its relation to the strength functions of the pair vibrational excitation modes. We define a specific combination of pair operators that is related to the curvature of Mexican hat potential.
We use the Skyrme-Hartree-Fock-Bogoliubov mean-field model and the continuum quasiparticle random phase approximation for
We study proximity effect of neutron superfluid in the inner crust of neutron stars by solving the Hartree-Fock-Bogoliubov equation in a spherical Wigner-Seitz (WS) cell. Numerical analysis shows that the presence of nuclei affects the pair correlation of neutron superfluid in proximity region, which is characterized by the coherence length measured from the edge of the nuclei. We use the functional SLy4 and density-depend delta interaction as the pairing force, which is designed to reproduce a realistic pairing gap in low-density neutron matter, i.e. Gor'kov's gap at low density limit and Ab-initio gap at
We develop new cluster models with local potentials to study these
Various physical properties of
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Even though the quantum computing with fault tolerance is still a rather distant target, we are now entering a significant new era in developing quantum technology. In this circumstance, Noisy Intermediate-Scale Quantum Computing (NISQ) is defined by Preskill in 2018[1]. NISQ algorithms try to avoid deep circuits and utilize quantum advantages, which are efficiently preparing quantum states. NISQ devices will be useful for exploring many-body quantum physics and also lead to other useful applications. Variational quantum eigensolver (VQE) was proposed as a first practical algorithm for NISQ and the ground-state molecular energy for He-H
Lipkin model is formulated [3] in order to investigate the validity of varied methods and formalisms proposed for calculating many-body systems. This model is also simple enough to be solved exactly. Therefore, we have adopted this model as a benchmark test for the VQE method. To carry out the VQE algorithm successfully we need to choose variational trial functions, i.e., ansatze appropriately. We tried out two kinds of ansatze: unitary coupled-cluster (UCC) ansatz [4] and structure learning (SL) ansatz [5]. UCC ansatz is often used for analyzing molecular systems and developed from coupled-cluster theory [6]. SL ansatz is a method for simultaneously optimizing the structure and variational parameters of quantum circuits. The calculations were performed with numerical simulations on a classical computer. Consequently, we obtained consistent results between the exact ground-state energies and the energies with UCC and SL ansatze in the Lipkin model.
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Since the 1970s, the density functional theory (DFT) in both the non-relativistic and relativistic frameworks has achieved great successes in describing and understanding the ground-state and excited-state properties of thousands of nuclei in a microscopic and self-consistent way. However, the connection between these two frameworks remains unclear. The non-relativistic expansion is regarded to be the potential bridge. By working out the analytic expression of the
References
[1] Y. Guo and H. Liang, Phys. Rev. C 99, 054324 (2019)
[2] Y. Guo and H. Liang, Chin. Phys. C 43, 114105 (2019)
[3] Y. Guo and H. Liang, Phys. Rev. C 101, 024304 (2020)
It is known that the nuclear interaction is much stronger than the Coulomb interaction, and thus the main contribution to the nuclear properties comes from the nuclear interaction. Nevertheless, the contribution from the Coulomb interaction to the properties is also important, since the Coulomb interaction and the isospin symmetry breaking terms of the nuclear interaction are entangled to each other in some particular nuclear properties, such as the superallowed
The Coulomb EDFs are, in principle, written in terms of
[1] T.Naito, X. Roca-Maza, G. Colò, and H. Liang. Phys. Rev. C 101, 064311 (2020).
Measurements made recently by the STAR collaboration show that the Lambda hyperons produced in relativistic heavy-ion collisions are subject to global spin polarization with respect to an axis coincident with the axis of rotation of the produced matter. Recently formulated formalism of relativistic hydrodynamics with spin, which is a generalization of the standard hydrodynamics, is a natural tool for describing the evolution of such systems. This approach is based on the conservation laws and the form of the energy-momentum tensor and spin tensor postulated by de Groot, van Leeuwen, and van Weert (GLW). Using Bjorken symmetry we show how this formalism may be used to determine observables describing the polarization of particles measured in the experiment.