Mirror energy differences (MED) between excited states in the $A=31, T=1/2$ mirror pair ${}^{31}\mathrm{S}$ and ${}^{31}\mathrm{P}$ have been measured up to high spin yrast states of positive and negative parity. The mirror nuclei were populated in the ${}^{24}\mathrm{Mg}({}^{12}\mathrm{C}, \alpha n$) and ${}^{24}\mathrm{Mg}({}^{12}\mathrm{C}, \alpha p$) reactions, respectively. For the first time the MED are described in the framework of the shell model in a valence space that includes three main shells. The theoretical MED values as a function of angular momentum indicate that the main contribution arises from the Coulomb interaction, however, the isospin symmetry breaking term is not at all negligible and needs to be considered to reproduce the experimental findings.

中文翻译：

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镜核中的高自旋入侵者状态 S31 和 P31

激发态之间的镜像能量差 (MED) $\mathrm{一种}=31, 吨=1/2$ 镜子对 ${}^{31}\mathrm{秒}$ 和 ${}^{31}\mathrm{磷}$已被测量到高自旋 yrast 状态的正负奇偶校验。镜像核被填充在${}^{24}镁({}^{12}\mathrm{C}, \alpha n$） 和 ${}^{24}镁({}^{12}\mathrm{C}, \alpha 磷$) 反应。首次在包含三个主要壳的价空间中的壳模型框架中描述 MED。作为角动量函数的理论 MED 值表明主要贡献来自库仑相互作用，然而，同位旋对称性破坏项根本不可忽略，需要考虑以重现实验结果。