Collective correlations in the ground state of nuclei

The collective hamiltonian will be constructed from the potential energy function with the zero-point vibration term and the mass parameters obtained within the cranking model as well as the generator coordinate method (GCM+GOA).

First the calculation will be performed for the well known nuclei in order to fix the parameters of the models. The obtained results for the atomic masses, the MSR values and their isotopic shifts, as well as on the Q₂ and B(E2) values and positions of the lowest excited states of nuclei will be compared with the newest experimental data. Then the models will be applied to nuclei far from $\beta$-stability line (close to the proton and neutron drip lines) and from the superheavy region.