Spontaneous symmetry-breaking in Elliott-type models and the nuclear deformation

Abstract

The relation between the spontaneous breaking of the rotational symmetry and the nuclear deformation is discussed in Elliott-type, i.e. algebraic models based on the spherical shell picture. The quadrupole deformation of a single shell model, the octupole deformation of two major shells, and the molecule-like configuration of the cluster model are analysed. The cluster-shell duality is also considered. Keywords: Symmetry breaking, Nuclear deformation, Shell and cluster models