Spurious dipole mode in random-phase approximation and in the RPA-based models

Abstract

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

14 pages, 8 figures

References in corpus (5)

• Solution of the center-of-mass problem in nuclear structure calculations
• Quasi-particle random phase approximation with quasi-particle-vibration coupling: application to the Gamow-Teller response of the superfluid nucleus ${}^{120}$Sn
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Cited by in corpus (1)

• Comparative analysis of formalisms and performances of three different beyond mean-field approaches