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Toward A Global Microscopic Theory For Nuclear Structure: Mean Field Plus Random Phase Approximation Vs. Shell Model, Ionel Stetcu
Toward A Global Microscopic Theory For Nuclear Structure: Mean Field Plus Random Phase Approximation Vs. Shell Model, Ionel Stetcu
LSU Doctoral Dissertations
Our understanding of nuclear structure is built upon mean-field theories such as Hartree-Fock and time-dependent Hartree-Fock. The small-amplitude limit of the latter is the random phase approximation (RPA), which is widely used to model giant resonances in nuclei. Despite this popularity, RPA has been mostly validated against toy models; tests against complex models are scarce in the literature. We perform a thorough test of the RPA against full 0hw shell model (SM) calculations, including in our investigation binding energies, scalar ground-state observables, for which we develop a new method, and transition strengths. We allow deformed Hartree-Fock solutions and compare results …
Group Theoretical Approach To Pairing And Non-Linear Phenomena In Atomic Nuclei, Kristina D. Launey
Group Theoretical Approach To Pairing And Non-Linear Phenomena In Atomic Nuclei, Kristina D. Launey
LSU Doctoral Dissertations
The symplectic sp(4) algebra provides a natural framework for studying proton-neutron (pn) and like-nucleon pairing correlations as well as higher-J pn interactions in nuclei when protons and neutrons occupy the same shell. While these correlations manifest themselves most clearly in the binding energies of 0+ ground states, they also have a large effect on the spectra of excited isobaric analog 0+ states. With a view towards nuclear structure applications, a fermion realization of sp(4) is explored and its q-deformed extension, sp(4)q, is constructed for single and multiple shells. The su(2)(q) substructures that enter are associated with isospin symmetry and with …