The high-spin levels and ${\beta }^{-}$ decay in neutron-rich hole nuclei of $A=128$ are studied by large-scale shell-model calculations with the extended pairing plus multipole-multipole force model. The excited energy and logft values of ${\beta }^{-}$ decay are predicted in the final states of ¹²⁸Ag, ¹²⁸Cd, and ¹²⁸In by the cascaded decays calculated in $A=128$ hole nuclei. The 16⁺ level of ¹²⁸Cd is predicted as a spin-trap isomer feeding the existing high-spin 16⁺ of ¹²⁸In by ${\beta }^{-}$ decay. The monopole effects are investigated carefully in the ${\beta }^{-}$ decay process from the ground state 0⁺ of ¹²⁸Cd to the 1⁺ levels of ¹²⁸In, while the half-life is affected by monopole corrections acting on the configuration of final states.

高旋转水平和${\beta }^{-}$富中子空穴核衰变$\mathrm{一个}=128$通过扩展配对加多极-多极力模型的大规模壳模型计算来研究。的激发能和 logft 值${\beta }^{-}$^通过在128 Ag、¹²⁸ Cd 和¹²⁸ In的最终状态中预测衰变$\mathrm{一个}=128$孔核。16 ⁺水平的128 ^Cd被预测为自旋陷阱异构^体，通过${\beta }^{-}$衰变。单极子效应在${\beta }^{-}$^从128 Cd的基态 0 ⁺到^{128 In 的 1 +}水平的衰变过程，而半衰期受作用于最终状态配置的单极校正的影响。