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

In the present work, the 204-210Tl 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 204-206Tl isotopes, KHH7B interaction for 204-210Tl isotopes, and additionally KHM3Y interaction has been used for 208Tl isotope. The core excitation has been performed using the KHH7B and KHM3Y interactions. The level spectra of 204-210Tl isotopes are comprehensively described and explained by multi-nucleon couplings of single-particle-hole orbitals within the valence space and by core excitations across 208Pb core. The well-known isomeric states are analyzed in terms of the shell model configurations.