Fermi-Thomas Type Approximation for Nuclei

Abstract

The Hartree-Fock to Fermi-Thomas reduction is carried through for finite nuclei, starting with the $K$-matrix formulation. The resulting expression represents the nuclear energy to good accuracy in terms of the density and its first derivatives only; it differs in detail from the semiempirical expressions previously proposed for this purpose. This improved expression shows the inadequacy of the "semi-infinite" approximation used often in earlier studies.