Self-Consistent Velocity Dependent Effective Interactions

Details Self-Consistent Velocity Dependent Effective Interactions Self-Consistent Velocity Dependent Effective Interactions

1996-10-02

arxiv.org/abs/nucl-th/9610004v1

Phys.Rev.C54:2331-2344,1996

Physics

Nuclear Physics

Nuclear Theory

35 pages, RevTeX, 7 figures (available upon request), to appear in Phys.Rev.C

Scientific paper

10.1103/PhysRevC.54.2331

The theory of self-consistent effective interactions in nuclei is extended for a system with a velocity dependent mean potential. By means of the field coupling method, we present a general prescription to derive effective interactions which are consistent with the mean potential. For a deformed system with the conventional pairing field, the velocity dependent effective interactions are derived as the multipole pairing interactions in doubly-stretched coordinates. They are applied to the microscopic analysis of the giant dipole resonances (GDR's) of ${}^{148,154}Sm$, the first excited $2^+$ states of Sn isotopes and the first excited $3^-$ states of Mo isotopes. It is clarified that the interactions play crucial roles in describing the splitting and structure of GDR peaks, in restoring the energy weighted sum rule, and in reducing the values of $B(E\lambda)$.

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