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arXiv · 2311.00542

Shell-model study for $^{204-210}$Tl isotopes and core excitations across the $Z = 82$ and $N = 126$ shell gaps

Bharti Bhoy·Praveen C. Srivastava
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Abstract

In the present work, the $^{204-210}$Tl isotopes have been investigated by performing large-scale shell-model calculations, including configurations allowing both neutron and proton core excitations across the $Z$ = 82 and $N$ = 126 shell gaps. Inspired by the recent high-spin experimental data, the structure of Tl isotopes has been studied for a considerably large model space. The KHHE interaction has been used for $^{204-206}$Tl isotopes, KHH7B interaction for $^{204-210}$Tl isotopes, and additionally KHM3Y interaction has been used for $^{208}$Tl isotope. The core excitation has been performed using the KHH7B and KHM3Y interactions. The level spectra of $^{204-210}$Tl isotopes are comprehensively described and explained by multi-nucleon couplings of single-particle-hole orbitals within the valence space and by core excitations across $^{208}$Pb core. The well-known isomeric states are analyzed in terms of the shell model configurations.

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Bharti Bhoy, Praveen C. Srivastava. 2023-11-01. Shell-model study for $^{204-210}$Tl isotopes and core excitations across the $Z = 82$ and $N = 126$ shell gaps. https://doi.org/10.1016/j.nuclphysa.2023.122782

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