Re-examination of β-decay in Hg, Pb and Po Isotopes

Abstract

This study re-examines the effect of nuclear deformation on the model dependent Gamow-Teller (GT) strength distributions of neutron-deficient ($^{178-192}$Hg, $^{185-194}$Pb and $^{196-206}$Po) nuclei. The nuclear ground state properties and shape parameter were calculated using the Relativistic Mean Field model. Three different density-dependent interactions were used in the calculation. Estimated shape parameters were later used within the framework of deformed proton-neutron quasi-random phase approximations model, with a separable interaction, to calculate the GT strength distributions, half-lives and branching ratios for the neutron--deficient isotopes. It was concluded that half-lives and GT strength distributions vary considerably with change in shape parameter.