On the intersection of the shell, collective and cluster models of atomic nuclei II: Symmetry-breaking and large deformations

preprint2014arXivOpen access

Abstract

We discuss the role of the broken symmetries in the connection of the shell, collective and cluster models. The cluster-shell competition is described in terms of cold quantum phases. Stable quasi-dynamical U(3) symmetry is found for specific large deformations for a Nilsson-type Hamiltonian.

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