Self-consistent model of quadrupole excitations in deformed nuclei

A self-consistent model for the description of collective excitations of positive parity in deformed nuclei is developed. Separable forces are obtained on the basis of the shell potential using the rotational invariance, the constants are calculated from the requirement of the consistency of interactions with the potential. Within the frame-work of random phase approximation equations for the collective excitations are obtained. More accurate and consistent provision for the interactions in the particle-particle channel (quadrupole, in particular) leads to quantitative changes in the measured characteristics of the ground states of nuclei, as well as to renormalization of the interaction constants for the particle-hole channel, that naturally affects the excitation energies and transition probabilities