Self-consistent calculations of quadrupole moments of spherical nuclei

TL;DR

This paper employs a self-consistent theoretical approach to calculate various quadrupole moments of spherical nuclei, including odd neighbors, excited states, and odd-odd nuclei, achieving good agreement with experimental data and making new predictions.

Contribution

It applies the Energy Density Functional method with the DF3-a parameters to systematically compute quadrupole moments across different nuclear chains, including unstable nuclei, which is a novel comprehensive analysis.

Findings

Good agreement with experimental quadrupole moments

Predictions for quadrupole moments near unstable magic nuclei

Systematic calculations of moments of excited and odd-odd nuclei

Abstract

The self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. with the set DF3-a of parameters fixed previously is used to calculate three kinds of quadrupole moments. At first, we examined systematically quadrupole moments of odd neighbors of semi-magic lead and tin isotopes and $N=50,N=82$ isotones. Second, we found quadrupole moments of the first $2^+$ states in the same two chains of isotopes. Finally, we evaluated quadrupole moments of odd-odd nuclei neighboring to double magic ones. Reasonable agreement with available experimental data has been obtained. Predictions are made for quadrupole moments of nuclei in the vicinity of unstable magic nuclei