Spurious dipole mode in random-phase approximation and in models based on this approximation

The problems related to the existence of spurious dipole mode (SDM) in self-consistent nuclear-structure models are considered. A method is formulated that allows one eliminate coupling SDM with physical modes extended random-phase approximation (ERPA) theories, particular, time blocking (TBA), which a model ERPA type. It shown application this realistic TBA calculations $E1$ excitations gives results very close without using if bare external-field operators replaced by effective ones.