Collective quadrupole excitations within a self-consistent approach

Low energy quadrupole collective excitations are investigated using a model based on the Adiabatic Time Dependent HFB theory. Distinctive feature of proposed method is an extension of the collective space by adding variables referring to pairing degrees of freedom. In the microscopic part of the model effective Skyrme interaction and constant G pairing force are employed. Calculated energy levels and B(E2) transition probabilities in the Xe-128 nucleus are compared with the experimental data.