Doctoral Dissertations
Date of Award
12-2011
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Major
Physics
Major Professor
Thomas Papenbrock
Committee Members
Witek Nazarewicz, Kate Jones, Adolfo Eguiluz, Robert Harrison
Abstract
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.
Recommended Citation
Bertolli, Michael Giovanni, "Energy Functional for Nuclear Masses. " PhD diss., University of Tennessee, 2011.
https://trace.tennessee.edu/utk_graddiss/1167
Included in
Multivariate Analysis Commons, Nuclear Commons, Numerical Analysis and Computation Commons, Numerical Analysis and Scientific Computing Commons, Quantum Physics Commons