Semiclassical approximation to the Hartree-Fock method in finite nuclei
Nuclear Theory
2017-04-13 v1
Abstract
In this paper we review the semiclassical extended Thomas-Fermi theory for describing the ground-state properties of nuclei. The binding energies calculated in this approach do not contain shell effects and, in this sense, they are analogous to those obtained from the mass formula. We discuss some techniques for incorporating the shell effects which are missing in the semiclassical calculation, such as the so-called expectation value method and the Kohn-Sham scheme. We present numerical applications for effective zero-range Skyrme forces and finite-range Gogny forces.
Keywords
Cite
@article{arxiv.1704.03858,
title = {Semiclassical approximation to the Hartree-Fock method in finite nuclei},
author = {K. A. Gridnev and V. B. Soubbotin and X. Viñas and M. Centelles},
journal= {arXiv preprint arXiv:1704.03858},
year = {2017}
}
Comments
Contribution to the book "Quantum Theory: in honour of Vladimir A. Fock" pt. 2, eds. Y. Novozhilov, V. Novozhilov, Publishing group of St. Petersburg University, 1998, p. 118