Local Fermi Momentum Dependence in the Effective Nuclear Interaction

Abstract

<p>We have investigated the recently proposed Local Fermi Momentum Approximation's use in the context of the Hartree-Fock model of the nucleus. This suggests the possibility that the effective nuclear potential could depend on the Local Fermi Momentum. It is shown that such a potential derives no rearrangement energy from this dependence. This fact shows why the Density Matrix Expansion Approximation treats the rearrangement energy accurately. In order to produce a rearrangement energy, the effective potential should be chosen to depend on the density as well as on the Local Fermi Momentum. This led to the development of a modified Skyrme-like force in which the density dependence is replaced by a kinetic-energy-density dependence. This force was adjusted to give good fits to observed ground-state properties of closed-shell nuclei, and of infinite nuclear matter. Its use requires that more attention be paid to the numerical solution of the Hartree-Fock problem than for a regular Skyrme force.</p>