Date of Award
Doctor of Philosophy (PhD)
Physics and Astronomy
Jerry P. Draayer
An algebraic shell-model realization of a quantum rotor for integral and half-integral angular momenta is introduced. The underlying symmetry of the theory is the SU(3) $\supset$ SO(3) group structure. The algebraic model reproduces the eigenvalues of the quantum rotor hamiltonian well for normal shell-model configurations; the mapping is exact for small values of the angular momentum in large SU(3) representations. A shell-model hamiltonian using this algebraic realization of the quantum rotor and other non-central one-body interactions is used to reproduce the experimental spectra of representative even and odd-mass ds-shell nuclei.
Naqvi, Husney Ahmed, "Shell-Model Description of Rotational Motion in Odd-Mass Nuclei." (1992). LSU Historical Dissertations and Theses. 5401.