Comparison of the relativistic Hartree-Fock approximation and its semiclassical expansion

Abstract
We present a comparison of a recent fully quantal relativistic Hartree-Fock approach with its semiclassical expansion. One obtains the same trends, i.e., a slight overbinding and smaller radii, as in similar comparisons of (i) the nonrelativistic extended Thomas-Fermi method using Skyrme forces with the corresponding Hartree-Fock calculations and (ii) the relativistic semiclassical description with the relativistic Hartree theory.