Generalized seniority isomers in and around $Z=82$ closed shell: a survey of Hg, Pb and Po isotopes

TL;DR

This paper explores the generalized seniority scheme and its Schmidt Model variant to explain nuclear properties of Hg, Pb, and Po isotopes around the Z=82 shell closure, providing a unified theoretical framework.

Contribution

It demonstrates the applicability of a consistent multi-j configuration within the generalized seniority scheme to describe various spectroscopic properties across multiple isotopic chains.

Findings

Successful explanation of g-factors, Q-moments, and B(E2) trends using the model.

Reproduction of inverted parabolic B(E2) trends for 2+ states.

Comparison with experimental data supports the model's validity.

Abstract

In this paper, we investigate the generalized seniority scheme and the validity of Generalized Seniority Schmidt Model in and around the $Z=82$ semi-magic region. A consistently same multi-j configuration is used to explain all the nuclear spectroscopic properties such as $g-$factors, $Q-$moments and $B(E2)$ trends for the ${13/2}^+$, ${12}^+$ and ${33/2}^+$ isomers in all the three Hg, Pb and Po isotopic chains. The inverted parabolic $B(E2)$ trends for the first $2^+$ states in Hg, Pb and Po isotopes are also explained using the generalized seniority scheme. A comparison with the experimental data is presented, wherever possible, and future possibilities are suggested.