Date of Award
Doctor of Philosophy
Witek Nazarewicz, Kate Jones, Adolfo Eguiluz, Robert Harrison
An energy functional is formulated for mass calculations of nuclei across the nuclear chart with major-shell occupations as the relevant degrees of freedom. The functional is based on Hohenberg-Kohn theory. Motivation for its form comes from both phenomenology and relevant microscopic systems, such as the three-level Lipkin Model. A global fit of the 17-parameter functional to nuclear masses yields a root- mean-square deviation of χ[chi] = 1.31 MeV, on the order of other mass models. The construction of the energy functional includes the development of a systematic method for selecting and testing possible functional terms. Nuclear radii are computed within a model that employs the resulting occupation numbers.
Bertolli, Michael Giovanni, "Energy Functional for Nuclear Masses. " PhD diss., University of Tennessee, 2011.