On the Collective Motion in Even-Even Deformed Nuclei

Abstract
By beginning with a spherically symmetric j-j coupling shell model Hamiltonian with a general effective two-body interaction, formulas for various empirical parameters characterizing the collective motion in even-even deformed nuclei are given with explicit reference to the effective interaction. An assumption made in this paper is the adiabatic approximation which is the same as that underlying Bohr's strong coupling model or its modified ones. Characteristics of various collective modes described in these “phenomenological models” are investigated and the physical implication underlying the models is made clear. Throughout this paper discussions are made in a general form as much as possible and, to make the understanding of our results easier, simple estimates based on the so-called “Pairing plus Quadrupole Force” are made for each case.