Self-consistent calculations of quadrupole moments of the first 2+ states in Sn and Pb isotopes

TL;DR

This paper develops a self-consistent Green function method to calculate quadrupole moments of the first 2+ states in Sn and Pb isotopes, showing improved agreement with experimental data over standard approaches.

Contribution

It introduces a new self-consistent approach within the Green function formalism for calculating static moments in non-magic nuclei, differing from the QRPA method.

Findings

Calculated quadrupole moments agree reasonably with experimental data.

The method shows noticeable differences from the standard QRPA approach.

Application to Sn and Pb isotopes demonstrates the model's effectiveness.

Abstract

A method of calculating static moments of excited states and transitions between excited states is formulated for non-magic nuclei within the Green function formalism. For these characteristics, it leads to a noticeable difference from the standard QRPA approach. Quadrupole moments of the first 2+ states in Sn and Pb isotopes are calculated using the self-consistent TFFS based on the Energy Density Functional by Fayans et al. with the set of parameters DF3-a fixed previously. A reasonable agreement with available experimental data is obtained.