Quadrupole moments of odd-odd near-magic nuclei

TL;DR

This paper calculates ground state quadrupole moments of odd-odd near-magic nuclei using a self-consistent theory, successfully matching experimental data and predicting unknown moments near doubly magic nuclei.

Contribution

It introduces a self-consistent approach based on the Energy Density Functional to predict quadrupole moments of odd-odd nuclei near double magic ones, including unknown values.

Findings

Good agreement with experimental data for known nuclei.

Predictions for unknown quadrupole moments near doubly magic nuclei.

Method simplifies calculations by reducing to odd-even nuclei.

Abstract

Ground state quadrupole moments of odd-odd near double magic nuclei are calculated in the approximation of no interaction between odd particles. Under such a simple approximation, the problem is reduced to the calculations of quadrupole moments of corresponding odd-even nuclei. These calculations are performed within the self-consistent Theory of Finite Fermi Systems based on the Energy Density Functional by Fayans et al. with the known DF3-a parameters. A reasonable agreement with the available experimental data has been obtained for odd-odd nuclei and odd near-magic nuclei investigated. The self-consistent approach under consideration allowed us to predict the unknown quadrupole moments of odd-even and odd-odd nuclei near the double-magic $^{56,78}$Ni, $^{100,132}$Sn ones.