Symmetries in the Geometrical Collective Model
Stijn De Baerdemacker (Ghent University)
11h salle de séminaire du GANIL
Away from the shell closures, the dynamics of the constituent particles within the atomic nucleus will polarise the core, leading towards enhanced deformation modes at the atomic surface. The quantum mechanical treatment of these surface excitations gave rise to the Geometrical Collective Model (GCM), developped by Bohr & Mottelson, and which has recently witnessed a renewed interest from a theoretical as well as experimental perspective.
The present talk will discuss the symmetries of the GCM at the quadrupole level. A brief overview will be given of how principles of symmetries and Lie-algebras can be applied to nuclear structure physics in general and the quadrupole GCM in particular. It will be demonstrated how the recently developed Cartan-Weyl based treatment of the GCM can provide all necessary ingredients for the description of collective vibrational, rotational and more involved structures, such as e.g. triaxiality and shape coexistence.
