Date of Award
12-1981
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Physics
Supervisor
Professor D.W.L. Sprung
Abstract
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.
Recommended Citation
Molzahn, Frank Herbert, "Local Fermi Momentum Dependence in the Effective Nuclear Interaction" (1981). Open Access Dissertations and Theses. Paper 120.
http://digitalcommons.mcmaster.ca/opendissertations/120