Shell-model description for the properties of the forbidden β−β^- decay in the region "north-east" of 208^{208}Pb

preprint2022arXivOpen access

Abstract

In the present work, we report a comprehensive shell-model study of the log⁡ft\log ft values for the forbidden β−β^- decay transitions in the north-east region of 208^{208}Pb. For this we have considered 210−215^{210-215}Pb →\rightarrow 210−215^{210-215}Bi and 210−215^{210-215}Bi →\rightarrow 210−215^{210-215}Po transitions. We have performed shell-model calculation using KHPE interaction in valence shell 82-126 for protons and 126-184 for neutrons without any truncation. We have also calculated half-lives and Q-values for the concerned nuclei. Recently several log⁡ft\log ft values are observed corresponding to β−β^- decay from (8−^-) isomeric state of 214^{214}Bim^m at CERN-ISOLDE facility [Phys. Rev. C {\bf 104}, 054301 (2021)], and for the first time we have reported shell-model results for these transitions.

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