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Nuclear Theory·nucl-th

Thursday·December 12, 2024

9 papers—3 primary·6 cross-listed

All9Primary3Cross-lists6
  1. 01

    [Submitted on 11 Dec 2024]

    Ground-state properties and structure evolutions of odd- transuranium Bk isotopes from deformed relativistic Hartree-Bogoliubov theory in continuum

    Zi-Dan Huang · Wei Zhang · Shuang-Quan Zhang · Ting-Ting Sun

    The studies of transuranium nuclei are of vital significance in exploring the existence of the ``island of superheavy nuclei". This work presents the systematic investigations for the ground-state properties and structure evolutions of odd- transuranium Bk isotopes taking the deformed relativistic Hartree-Bogoliubov theory in continuum~(DRHBc) with PC-PK1 density functional, in comparison with those by spherical relativistic continuum Hartree-Bogoliubov~(RCHB) theory. The DRHBc calculations offer improved descriptions of the binding energies, closely aligning with the experimental data. The incorporation of deformation effects in DRHBc results in enhanced nuclear binding energies and a notable reduction in -decay energies. With the rotational corrections further incorporated, the theoretical deviation by DRHBc from the experimental data is further reduced. Based on the two-neutron gap and the neutron pairing energy , prominent shell closures at and , as well as potential sub-shell structures at , and are exhibited. A quasi-periodic variation among prolate, oblate, and spherical shapes as well as prolate deformation predominance have been shown in the evolutions of the quadrupole deformation. Possible shape coexistence is predicted in Bk with the oblate and prolate minima in close energies, which is further supported by the triaxial relativistic Hartree-Bogoliubov theory in continuum~(TRHBc) calculations. The neutron, proton, and charge radii predicted by DRHBc reveal pronounced kink structures at and in their evolutions with neutron number and compared to those by RCHB, deformation effect significantly enhances the radii of open-shell nuclei.

    Comments:
    11 pages, 9 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2412.08077 [pdf]
    PRC(2025)·8 citations
  2. 02

    [Submitted on 11 Dec 2024]

    Exact-exchange relativistic density functional theory in three-dimensional coordinate space

    Qiang Zhao · Zhengxue Ren · Pengwei Zhao · Kenichi Yoshida

    The exact-exchange relativistic density functional theory (Ex-RDFT) of atomic nuclei has been solved in three-dimensional lattice space for the first time. The exchange energy is treated within the framework of the orbital-dependent relativistic Kohn-Sham density functional theory, wherein the local Lorentz scalar and vector potentials are derived using the relativistic optimized effective potential method. The solutions of binding energies, charge radii, and density distributions are benchmarked against the traditional relativistic Hartree-Fock approach for spherical and axially deformed nuclei. Furthermore, the triaxial neutron-rich isotopes are investigated with the exchange correlations, which is beyond the current capacity of the traditional relativistic Hartree-Fock approach. The results notably indicate the -softness of these neutron-rich nuclei, which is consistent with experimental observations. This novel approach establishes a foundation for the study of nuclei without imposing any symmetry restrictions employing relativistic density functional with exchange correlations.

    Comments:
    8 pages, 3 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2412.08132 [pdf]
    PLB(2025)·1 citation
  3. 03

    [Submitted on 11 Dec 2024]

    Pairing in fission: Mean-field and collective inertias study

    A. Zdeb · M. Warda · L. M. Robledo · S. A. Giuliani

    Pairing plays a crucial role in the microscopic description of nuclear fission. Microscopic methods provide access to three quantities related to pairing, namely, the pairing gap (), the particle number fluctuations (), and the quenching factor (QF). The aim of this work is to analyse the impact of each of these quantities on the static description of the fission process.

    Comments:
    12 pages, 9 figures
    Subjects:
    Nuclear Theory (nucl-th)
    arXiv:
    2412.08431 [pdf]
    PRC(2025)·3 citations

Affiliations

first authorsco-authorsvia INSPIRE