The Slater approximation for Coulomb exchange effects in nuclear covariant density functional theory

Abstract

The relativistic local density approximation (LDA) for the Coulomb exchange functional in nuclear systems is presented. This approximation is composed of the well-known Slater approximation in the non-relativistic scheme and the corrections due to the relativistic effects. Its validity in finite nuclei is examined by comparing with the exact treatment of the Coulomb exchange term in the relativistic Hartree-Fock-Bogoliubov theory. The relativistic effects are found to be important and the exact Coulomb exchange energies can be reproduced by the relativistic LDA within 5% demonstrated by the semi-magic Ca, Ni, Zr, Sn, and Pb isotopes from proton drip line to neutron drip line.

arXiv comment6 pages and 4 figures

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• Nuclear ${\beta }^{+}$/EC decays in covariant density functional theory and the impact of isoscalar proton-neutron pairing
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Spin-orbit interaction in relativistic nuclear structure models
• Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculations
• Application of Coulomb energy density functional for atomic nuclei: Case studies of local density approximation and generalized gradient approximation
• Effects of finite nucleon size, vacuum polarization, and electromagnetic spin-orbit interaction on nuclear binding energies and radii in spherical nuclei
• Slope-dependent nuclear-symmetry energy within the effective surface approximation
• Impacts of the tensor couplings of $\omega$ and $\rho$ mesons and Coulomb exchange terms on super-heavy nuclei and their relation to symmetry energy
• Combined few-body and mean-field model for nuclei
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• Nuclear charge-exchange excitations in localized covariant density functional theory
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