Clusterization and its symmetries in light nuclei

Abstract

In this dissertation, I applied the multiconfigurational dynamical symmetry (MUSY) and the semimicroscopic algebraic cluster model (SACM), developed by my supervisor and his collaborators. MUSY unifies the shell model, collective model, and cluster model for the multi-major-shell problem. Different energy regions of a nuclear spectrum may correspond to different configurations (shell and cluster configurations). I investigated the interrelations among these configurations within the MUSY framework and applied it to the description of the complex spectra of various nuclei.

In atomic nuclei, both thermal and non-thermal (cold) phases (and their transitions) are present. The non-thermal phases of atomic nuclei can be studied in algebraic models of nuclear structure, where the cold phases are defined by the dynamical symmetry limits of the models. For binary clusters, there are three dynamical symmetry limits. I investigated the nuclear spectra associated with each limit.