Shell-model study for allowed and forbidden $\beta^-$ decay properties in the mass region "south" of $^{208}$Pb

TL;DR

This study employs large-scale shell-model calculations to predict beta-decay properties of neutron-rich nuclei south of $^{208}$Pb, providing insights into decay rates, half-lives, and nuclear structure in this region.

Contribution

It introduces comprehensive shell-model calculations for neutron-rich nuclei south of $^{208}$Pb, including core-breaking effects and extensive comparison with experimental data.

Findings

Predicted beta-decay half-lives and $eta$-decay properties for neutron-rich nuclei.

Proposed spin parities for several nuclear states.

Validated shell-model results against experimental data.

Abstract

The large-scale shell-model calculations have been performed for the neutron-rich nuclei in the south region of $^{208}$Pb in the nuclear chart. The $\beta$-decay properties, such as the $\log ft$, average shape factor values, half-lives, and partial decay rates are calculated for these neutron-rich nuclei using recent effective interaction for the $^{208}$Pb region. These calculations have been performed without truncation in a particular model space for nuclei $N\leq 126$; additionally, particle-hole excitations are included in the case of core-breaking nuclei ($Z\leq 82, N>126$). An extensive comparison with the experimental data has been made, and spin parities of several states have been proposed.