Self-consistent account for phonon induced corrections to quadrupole moments of odd nuclei. Pole and non-pole diagrams

TL;DR

This paper reviews and extends a self-consistent theoretical approach to calculate quadrupole moments of odd semi-magic nuclei, incorporating phonon-particle coupling effects, including non-pole diagrams, to improve agreement with experimental data.

Contribution

It develops a self-consistent model for phonon-particle coupling effects on quadrupole moments, including non-pole diagrams, applied to odd Bi isotopes and others.

Findings

Inclusion of PC corrections improves agreement with experimental quadrupole moments.

The model successfully describes odd Bi isotopes, extending previous results.

Non-pole diagrams are crucial for accurate theoretical predictions.

Abstract

Recent results of the description of quadrupole moments of odd semi-magic nuclei are briefly reviewed. They are based on the self-consistent theory of finite Fermi systems with account for the phonon-particle coupling (PC) effects. The self-consistent model for describing the PC effects was developed previously for magnetic moments. Account for the non-pole diagrams is an important ingredient of this model. In addition to previously reported results for the odd In and Sb isotopes, which are the proton-odd neighbors of even tin nuclei, we present new results for odd Bi isotopes, the odd neighbors of even lead isotopes. In general, account for the PC corrections makes the agreement with the experimental data significantly better.