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Quasi-Local Density Functional Theory and its Application within Extended Thomas-Fermi Approximation

V. B. Soubbotin·V. I. Tselyaev·X. Vinas
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Abstract

A generalization of the Density Functional Theory is proposed. The theory developed leads to single-particle equations of motion with a quasi-local mean-field operator, which contains a quasi-particle position-dependent effective mass and a spin-orbit potential. The energy density functional is constructed using the Extended Thomas-Fermi approximation. Within the framework of this approach the ground-state properties of the doubly magic nuclei are considered. The calculations have been performed using the finite-range Gogny D1S force. The results are compared with the exact Hartree-Fock calculations.

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V. B. Soubbotin, V. I. Tselyaev, X. Vinas. 2002-07-11. Quasi-Local Density Functional Theory and its Application within Extended Thomas-Fermi Approximation. https://doi.org/10.1103/physrevc.67.014324

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