Numerical Application of the Geometric Collective Model

Abstract

The generalized collective model (GCM) is a phenomenological model for the description of the low-energy (< 3 MeV) collective properties of even—even nuclei; i.e., nuclei with even charge and neutron number. The physical picture behind the model is that these nuclei behave like incompressible liquid drops, especially for higher mass numbers. Thus, the model neglects single particle properties and determines the physical properties of the nucleus by its shape. From this point of view it is clear that the excitations of the nucleus within this model are vibrations and rotations. The theoretical problem is the classification of the excited states by quantum numbers. This is possible by means of group-theoretical considerations. For an extended discussion, we refer to Refs. [6.1–6].