Large-scale nuclear shell-model calculations are performed in the neutron- and proton-deficient Pt, Au, Hg, and Tl isotopes ($Z < 82$ and $N \le 126$) near $^{208}$Pb. All the single-particle levels in the one-major shells, six neutron ($2p_{1/2}$, $1f_{5/2}$, $2p_{3/2}$, $0i_{13/2}$, $1f_{7/2}$, and $0h_{9/2}$) orbitals and five proton ($2s_{1/2}$, $1d_{3/2}$, $0h_{11/2}$, $1d_{5/2}$, and $0g_{7/2}$) orbitals are considered. For an effective two-body interaction, one set of the multipole pairing, quadrupole–quadrupole interactions is employed for all the nuclei considered. These phenomenological interactions are determined to reproduce the experimental energy spectra. Some of the isomeric states are analyzed in terms of the shell-model configurations. Octupole correlated states are discussed in terms of a collective octupole excitation on top of each shell model state.

中文翻译：

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208Pb西南地区同位素大尺度核壳模型计算

在 $^{208}$Pb 附近的中子和质子缺乏的 Pt、Au、Hg 和 Tl 同位素（$Z < 82$ 和 $N \le 126$）中进行大规模核壳模型计算. 一主壳中的所有单粒子能级，六个中子（$2p_{1/2}$、$1f_{5/2}$、$2p_{3/2}$、$0i_{13/2} $、$1f_{7/2}$ 和 $0h_{9/2}$) 轨道和五个质子（$2s_{1/2}$、$1d_{3/2}$、$0h_{11/2 }$、$1d_{5/2}$ 和 $0g_{7/2}$) 轨道被考虑在内。对于有效的二体相互作用，对所有考虑的原子核采用一组多极配对、四极-四极相互作用。确定这些现象学相互作用以再现实验能谱。根据壳模型配置分析了一些异构状态。