Nuclear structure properties of $^{184-194}$Pb isotopes and isomers

TL;DR

This paper investigates the nuclear structure of lead isotopes from mass 184 to 194 using shell-model calculations, providing insights into energy spectra, electromagnetic properties, and isomeric states, and comparing results with experimental data.

Contribution

It applies shell-model calculations with KHH7B and KHHE interactions to systematically study Pb isotopes, including energy levels, electromagnetic properties, and isomeric states, which is a comprehensive analysis not previously reported.

Findings

Shell-model results agree with experimental energy spectra.

Electromagnetic transition strengths are calculated and compared with data.

Half-lives and seniority quantum numbers for isomers are reported.

Abstract

In the present work, we study nuclear structure properties of the $^{184-194}$Pb isotopes within the framework of the nuclear shell-model. We have performed shell-model calculations using KHH7B and KHHE interactions. We have reported results for energy spectra, electromagnetic properties such as quadrupole moment ($Q$), magnetic moment ($\mu$), $B(E2)$, and $B(M1)$ transition strengths, and compared the shell-model results with the available experimental data. The shell-model results for the half-lives and seniority quantum numbers ($v$) are also reported for the isomeric states.