Extended Thomas-Fermi approximation to the one-body density matrix

Details Extended Thomas-Fermi approximation to the one-body density matrix Extended Thomas-Fermi approximation to the one-body density matrix

1999-02-17

arxiv.org/abs/nucl-th/9902039v1

Nucl.Phys. A665 (2000) 291-317

Physics

Nuclear Physics

Nuclear Theory

27 pages, LateX, and 2 PostScript figures, (submitted to Nucl. Phys. A)

Scientific paper

10.1016/S0375-9474(99)00558-8

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.

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