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.

在目前的工作中，^204-210 Tl 同位素已通过进行大规模壳模型计算进行了研究，包括允许中子和质子核心激发的配置$Z=82$和$氮=126$外壳间隙。受最近高自旋实验数据的启发，人们在相当大的模型空间中研究了 Tl 同位素的结构。KHHE 相互作用已用于^204-206 Tl 同位素，KHH7B 相互作用用于^204-210 Tl 同位素，另外 KHM3Y 相互作用已用于²⁰⁸ Tl 同位素。核心激发是使用 KHH7B 和 KHM3Y 相互作用进行的。^204-210 Tl 同位素的能级谱通过价空间内单粒子空穴轨道的多核子耦合和²⁰⁸ Pb 核心的核心激发进行了全面的描述和解释。根据壳模型构型分析了众所周知的异构态。