Shape Isomers of Alpha-like Nuclei in terms of the Multiconfigurational Dynamical Symmetry

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The atomic nucleus is a special object: it contains too many nucleons to be investigated by a many-particle problem, however, it does not have sufficient number of constituents for a statistical description. Therefore, different structural models have been built as approximation. Among the fundamental models are the shell model comparing the nucleus with a miniature atom, the collective model imagining the nucleus as a macroscopic liquid drop (which can rotate and vibrate), and the cluster model viewing the nucleus as a molecule composed of smaller nuclei. The question whether there exists a connection between them arises naturally; and one possible answer is the so-called multiconfigurational dynamical symmetry (MUSY). In this thesis, I carry out a systematic research on three applications of MUSY for alpha-like nuclei (or 4N-nuclei): (i) derive the stable shapes of the nucleus by examining the stability and consistency of the SU(3) quasidynamical symmetry, (ii) use selection rules to determine possible decay channels for those stable shapes, (iii) use a dynamically symmetric Hamiltonian to produce the energy spectrum of the nucleus.

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nuclear structure, dynamical symmetry, shape isomers, binary clusters, energy spectra
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