Shell model study of first-forbidden beta decay around ²⁰⁸Pb

Abstract

In the present work, we report a systematic theoretical study of the log ft values for the forbidden β − decay transitions in the 208Pb region. For this, we have considered 206Hg → 206Tl, 208Hg → 208Tl, 206Tl → 206Pb and 208Tl → 208Pb transitions. We have performed shell model calculations using KHH7B interaction in valence shell 58-114 for protons and 100-164 for neutrons by considering 1p − 1h excitations for both protons and neutrons simultaneously for daughter nuclei. This study presents the first shell model results of β −-decay corresponding to the recent experimental data.