Application of Coulomb energy density functional for atomic nuclei: Case studies of local density approximation and generalized gradient approximation

Abstract

We test the Coulomb exchange and correlation energy density functionals of electron systems for atomic nuclei in the local density approximation (LDA) and the generalized gradient approximation (GGA). For the exchange Coulomb energies, it is found that the deviation between the LDA and GGA ranges from around $11\%$ in ${}^4\mathrm{He}$ to around $2.2\%$ in ${}^{208}\mathrm{Pb}$, by taking the Perdew-Burke-Ernzerhof (PBE) functional as an example of the GGA\@. For the correlation Coulomb energies, it is shown that those functionals of electron systems are not suitable for atomic nuclei.

22 pages, 9 figures, 2 tables

References in corpus (10)

• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Continuum variational and diffusion quantum Monte Carlo calculations
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Isospin corrections for superallowed Fermi beta decay in self-consistent relativistic random phase approximation approaches
• Localized form of Fock terms in nuclear covariant density functional theory
• The Slater approximation for Coulomb exchange effects in nuclear covariant density functional theory
• Functional Renormalization Group and Kohn-Sham scheme in Density Functional Theory
• Treating Coulomb exchange contributions in relativistic mean field calculations: why and how

Cited by in corpus (7)

• Isospin symmetry breaking in the charge radius difference of mirror nuclei
• Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculations
• Effects of Coulomb and isospin symmetry breaking interactions on neutron-skin thickness
• Radial overlap correction to superallowed $0^{+}\to 0^{+}$ nuclear $\beta$ decays using the shell model with Hartree-Fock radial wave functions
• Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei
• Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation Functionals