Exact-exchange relativistic density functional theory in three-dimensional coordinate space
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...
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Elsevier
2025-01-01
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author | Qiang Zhao Zhengxue Ren Pengwei Zhao Kenichi Yoshida |
author_facet | Qiang Zhao Zhengxue Ren Pengwei Zhao Kenichi Yoshida |
author_sort | Qiang Zhao |
collection | DOAJ |
description | 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 Ru104−120 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 γ-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. |
format | Article |
id | doaj-art-f488b562c5b745158d771b8ea4bc87f1 |
institution | Kabale University |
issn | 0370-2693 |
language | English |
publishDate | 2025-01-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
spelling | doaj-art-f488b562c5b745158d771b8ea4bc87f12025-01-10T04:37:36ZengElsevierPhysics Letters B0370-26932025-01-01860139196Exact-exchange relativistic density functional theory in three-dimensional coordinate spaceQiang Zhao0Zhengxue Ren1Pengwei Zhao2Kenichi Yoshida3Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan; Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon 34126, South Korea; State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, ChinaInstitute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany; State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, ChinaState Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China; Corresponding author at: School of Physics, Peking University, Beijing 100871, China.Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan; RIKEN Nishina Center for Accelerator-Based Science, Wako, Saitama 351-0198, Japan; Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, JapanThe 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 Ru104−120 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 γ-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.http://www.sciencedirect.com/science/article/pii/S0370269324007548Exact-exchange relativistic density functional theoryThree-dimensional coordinate spaceInverse Hamiltonian methodSpectral methodTriaxial deformation |
spellingShingle | Qiang Zhao Zhengxue Ren Pengwei Zhao Kenichi Yoshida Exact-exchange relativistic density functional theory in three-dimensional coordinate space Physics Letters B Exact-exchange relativistic density functional theory Three-dimensional coordinate space Inverse Hamiltonian method Spectral method Triaxial deformation |
title | Exact-exchange relativistic density functional theory in three-dimensional coordinate space |
title_full | Exact-exchange relativistic density functional theory in three-dimensional coordinate space |
title_fullStr | Exact-exchange relativistic density functional theory in three-dimensional coordinate space |
title_full_unstemmed | Exact-exchange relativistic density functional theory in three-dimensional coordinate space |
title_short | Exact-exchange relativistic density functional theory in three-dimensional coordinate space |
title_sort | exact exchange relativistic density functional theory in three dimensional coordinate space |
topic | Exact-exchange relativistic density functional theory Three-dimensional coordinate space Inverse Hamiltonian method Spectral method Triaxial deformation |
url | http://www.sciencedirect.com/science/article/pii/S0370269324007548 |
work_keys_str_mv | AT qiangzhao exactexchangerelativisticdensityfunctionaltheoryinthreedimensionalcoordinatespace AT zhengxueren exactexchangerelativisticdensityfunctionaltheoryinthreedimensionalcoordinatespace AT pengweizhao exactexchangerelativisticdensityfunctionaltheoryinthreedimensionalcoordinatespace AT kenichiyoshida exactexchangerelativisticdensityfunctionaltheoryinthreedimensionalcoordinatespace |