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A novel Information Theory based method for determining the density of states from prior information is presented. The energy dependence of the density of states is determined from the observed number of states per energy interval and model…

Nuclear Theory · Physics 2009-09-25 B. J. Cole , N. J. Davidson , H. G. Miller

In this paper we model low-lying states of atomic nuclei in the nucleon-pair approximation of the shell model, using three approaches to select collective nucleon pairs: the generalized seniority scheme, the conjugate gradient method, and…

Nuclear Theory · Physics 2021-08-11 G. J. Fu , Calvin W. Johnson

Low-lying shell model states may be approximated accurately by a sum over products of proton and neutron states. The optimal factors are determined by a variational principle and result from the solution of rather low-dimensional eigenvalue…

Nuclear Theory · Physics 2007-05-23 T. Papenbrock , A. Juodagalvis , D. J. Dean

The recently proposed spin-aligned neutron-proton pair coupling scheme is studied within a non-orthogonal basis in term of the multistep shell model. This allows us to identify simultaneously the roles played by other configurations such as…

Nuclear Theory · Physics 2012-02-20 Z. X. Xu , C. Qi , J. Blomqvist , R. J. Liotta , R. Wyss

We calculate the nuclear matrix elements (NMEs) for neutrinoless double-beta decays ($0\nu\beta\beta$) of $pf$-shell nuclei using the shell model (SM) and energy density functional (EDF) methods. The systematic study of non-physical decays…

Nuclear Theory · Physics 2014-08-20 Javier Menéndez , Tomas R. Rodríguez , Gabriel Martínez-Pinedo , Alfredo Poves

The nucleon separation energies and shell gaps in nuclei over the whole nuclear chart are systematically studied with eight global nuclear mass models. For unmeasured neutron-rich and super-heavy regions, the uncertainty of the predictions…

Nuclear Theory · Physics 2015-06-22 Qiuhong Mo , Min Liu , Ning Wang

We use quantum Monte Carlo methods in the framework of the interacting nuclear shell model to calculate the statistical properties of nuclei at finite temperature and/or excitation energies. With this approach we can carry out realistic…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid

The nuclear $\alpha$ decay of heavy nuclei is investigated based on the nuclear energy density functional, which leads to the $\alpha$ potential inside the parent nucleus in terms of the proton and neutron density profiles of the daughter…

Nuclear Theory · Physics 2017-03-22 Yeunhwan Lim , Yongseok Oh

The interpretation of future precise experiments on atomic parity violation in terms of parameters of the Standard Model could be hampered by uncertainties in the atomic and nuclear structure. While the former can be overcome by measurement…

Nuclear Theory · Physics 2008-11-26 B. Q. Chen , P. Vogel

Level density and radiative strength functions are obtained from the analysis of two-step cascades intensities following the thermal neutrons capture. The data on level density are approximated by the sum of the partial level densities…

Nuclear Experiment · Physics 2008-11-26 A. M. Sukhovoj , V. A. Khitrov

The nucleon single-particle energies (SPEs) of the selected closed shell nuclei; that is, 16O, 40Ca, and 56Ni, are obtained by using the diagonal matrix elements of two-body effective interaction, which generated through the lowest order…

Nuclear Theory · Physics 2016-06-30 Hodjat Mariji

The behaviors of barrier characteristics and fusion cross sections are analyzed by changing neutron over wide range of colliding systems. For this purpose, we have extended our previous study (Eur. Phys. J. A \textbf{48}, 21 (2012), it is…

Nuclear Theory · Physics 2016-01-27 O. N. Ghodsi , R. Gharaei , F. Lari

The binding energies and proton separation energies of nuclides with $Z, N = 30-50$ are investigated, based on the shell model with an uncertainty analysis through statistical methods. Several formulas are used to obtain the binding…

Nuclear Theory · Physics 2022-05-06 Boshuai Cai , Guangshang Chen , Cenxi Yuan , Jianjun He

The back-shifted Fermi gas model is widely employed for calculating nuclear level density (NLD) as it can effectively reproduce experimental data by adjusting parameters. However, selecting parameters for nuclei lacking experimental data…

Nuclear Theory · Physics 2024-07-01 Peng-Xiang Du , Tian-Shuai Shang , Kun-Peng Geng , Jian Li , Dong-Liang Fang

We construct new equations of state for baryons at sub-nuclear densities for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with thermodynamic quantities. A model free energy is…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Shun Furusawa , Kohsuke Sumiyoshi , Shoichi Yamada , Hideyuki Suzuki

We use effective field theory to compute the influence of nuclear structure on precision calculations of atomic energy levels. As usual, the EFT's effective couplings correspond to the various nuclear properties (such as the charge radius,…

High Energy Physics - Phenomenology · Physics 2021-05-19 L. Zalavari , C. P. Burgess , P. Hayman , M. Rummel

Angular momentum dependence of nuclear level densities at finite temperatures are investigated in the static path approximation(SPA) to the partition function using a cranked quadrupole interaction Hamiltonian in the following three…

Nuclear Theory · Physics 2009-10-22 B. K. Agrawal , A. Ansari

A phenomenological level density model that has different level density parameter sets for the state densities of the deformed and the spherical states, and the optimization of the parameters using experimental data of the average s-wave…

Nuclear Theory · Physics 2018-11-28 Naota Furutachi , Futoshi Minato , Osamu Iwamoto

Advances in laser spectroscopy of superheavy ($Z>100$) elements enabled determination of the nuclear moments of the heaviest nuclei, which requires high-precision atomic calculations of the relevant hyperfine structure (HFS) constants.…

Atomic Physics · Physics 2018-12-05 S. G. Porsev , M. S. Safronova , U. I. Safronova , V. A. Dzuba , V. V. Flambaum

A method is presented to extract the neutron-skin thickness of atomic nuclei from the second and fourth moments of the electric charge distribution. We show that the value of the proton fourth moment must be independently known in order to…

Nuclear Theory · Physics 2021-08-11 Tomoya Naito , Gianluca Colò , Haozhao Liang , Xavier Roca-Maza