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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Main Authors: Qiang Zhao, Zhengxue Ren, Pengwei Zhao, Kenichi Yoshida
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Physics Letters B
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Online Access:http://www.sciencedirect.com/science/article/pii/S0370269324007548
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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.
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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