Shell-model description for the first-forbidden $β^-$ decay of $^{207}$Hg into the one-proton-hole nucleus $^{207}$Tl

Abstract

In this work, we have performed large scale shell-model calculations for the first-forbidden β − decay of 207 Hg into the one-proton-hole nucleus 207 Tl corresponding to the recently available experimental data from ISOLDE-CERN [ T. A. Berry et al., Phys. Rev. C 101, 054311 (2020)]. We have used the one-particle one-hole (1p-1h) truncation for both protons and neutrons simultaneously across the doubly-shell closure at 208 Pb in the final states of 207 Tl. In our calculations we have also considered the effect of mesonic enhancement ǫmec = 2.01 ± 0.05 in the rank-0 for the axial-charge matrix element γ5. Here, we have calculated the log f t values from the ground-state of 207 Hg to the several excited states of 207 Tl and obtained a good agreement between calculated and the experimental data. In the experimental data spin and parity for the some states are not yet confirmed, thus based on the shell-model results for the log f t values we have given the prediction for these states.

Systematic shell-model study of Rn isotopes with $A=$ 207 to 216 and isomeric states

“…There have been several theoretical studies done in this mass region [20][21][22][23][24][25][26][27][28][29][30][31]. McGrory and Kuo [22] have reported the structure of the nuclei [204][205][206] Pb, [210][211][212] Pb, 210 Po, 211 At, and 212 Rn having few valence particles away from the 204 Pb core using conventional nuclear shell-model several decades before.…”