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arXiv:1810.02500·v2·Nuclear Theory

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

Tomoya Naito · Xavier Roca-Maza · Gianluca Colò · Haozhao Liang

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.

Comments: 22 pages, 6 figures, 3 tables

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