Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculations

Abstract

We perform the self-consistent Skyrme Hartree-Fock calculation with the Coulomb exchange functional in the form of generalized gradient approximation (GGA). It is found that the Perdew-Burke-Ernzerhof GGA (PBE-GGA) Coulomb exchange functional is able to reproduce the exact-Fock energy for the nuclei in a large region of the nuclear chart with one adjustable parameter. The remaining error of Coulomb exchange energy by the GGA with respect to the exact-Fock energy dominantly comes from the functional-driven error.

22 pages, 6 figures, 3 tables

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• Coulomb Energy Density Functionals for Nuclear Systems: Recent Studies of Coulomb Exchange and Correlation Functionals
• Relativistic correction of the Coulomb interaction in the local density approximation for energies and radii in doubly-magic nuclei