Accurate relativistic density functional for exchange energy of atomic nuclei

Abstract

The inclusion of nucleonic exchange energy has been a long-standing challenge for the relativistic density functional theory (RDFT) in nuclear physics. We propose an orbital-dependent relativistic Kohn-Sham density functional theory to incorporate the exchange energy with local Lorentz scalar and vector potentials. The relativistic optimized effective potential equations for the local exchange potentials are derived and solved efficiently. The obtained binding energies and charge radii for nuclei are benchmarked with the results given by the traditional relativistic Hartree-Fock approach, which involves complicated nonlocal potentials. It demonstrates that the present framework is not only accurate but also efficient.

arXiv comment6 pages, 4 figures

References in corpus (19)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• From low-momentum interactions to nuclear structure
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• Density-Dependent Relativistic Hartree-Fock Approach
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Towards an ab initio covariant density functional for nuclear structure
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Leading order relativistic chiral nucleon-nucleon interaction
• Non-local mean field effect on nuclei near Z=64 sub-shell
• Magicity of neutron-rich isotopes within relativistic self-consistent approaches
• Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei
• Microscopic analysis of induced nuclear fission dynamics
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Dynamics of the linear-chain alpha cluster in microscopic time-dependent relativistic density functional theory
• New magicity $N=32$ and $34$ triggered by strong couplings between Dirac inversion partners
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Exact-exchange density functional theory for neutron drops

Cited by in corpus (1)

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