Extended Thomas-Fermi approximation to the one-body density matrix
Abstract
The one-body density matrix is derived within the Extended Thomas-Fermi approximation. This has been done starting from the Wigner-Kirkwood distribution function for a non-local single-particle potential. The links between this new approach to the density matrix with former ones available in the literature are widely discussed. The semiclassical Hartree-Fock energy at Extended Thomas-Fermi level is also obtained in the case of a non-local one-body Hamiltonian. Numerical applications are performed using the Gogny and Brink-Boeker effective interactions. The semiclassical binding energies and root mean square radii are compared with the fully quantal ones and with those obtained using the Strutinsky averaged method.
Cite
@article{arxiv.nucl-th/9902039,
title = {Extended Thomas-Fermi approximation to the one-body density matrix},
author = {V. B. Soubbotin and X. Vinas},
journal= {arXiv preprint arXiv:nucl-th/9902039},
year = {2009}
}
Comments
27 pages, LateX, and 2 PostScript figures, (submitted to Nucl. Phys. A)