A SEMICLASSICAL DENSITY-FUNCTIONAL INVEST IGATION OF THE HARTREE-FOCKBINDING-ENERGY IN ATOMS .1. AN EVALUATION OF THE SHELL-STRUCTURE OSCILLATIONS

The variation of the Hartree-Fock (HF) binding energy in atoms, from h elium through xenon, is split into its smooth and oscillating parts, i n accordance with Strutinsky's self-consistent averaging procedure, wh ich is equivalent to using a truncated semi-classical HBAR-expansion o f the density functional. This enables a consistent evaluation of the oscillating part of the HF binding energy, which displays a quasi-peri odic behaviour expressing clearly the shell structure of atoms.