The structure of odd-$A$ $^{(115,117)}$Rh and $^{(115,117)}$Pd isotopes is studied by means of the neutron-proton Interacting Boson-Fermion Model (IBFM-2). $J^P = \frac{1}{2}^+$ quantum number assignment for the $^{(115,117)}$Pd ground-states is critically discussed and the predicted energy levels are compared to the existing experimental data. The resulting nuclear wave functions are used to compute the $\beta$-decay $ft$ values of the transitions from $^{(115,117)}$Rh to $^{(115,117)}$Pd in the microscopic IBFM-2 and the results compared with the data.

中文翻译：

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在微观相互作用玻色子-费米子模型中，Rh115,117 到 Pd115,117 同位素的 β-衰变率

奇数-$A$ $^{(115,117)}$Rh 和 $^{(115,117)}$Pd 同位素的结构通过中子-质子相互作用玻色子-费米子模型 (IBFM-2) 进行研究。$J^P = \frac{1}{2}^+$ $^{(115,117)}$Pd 基态的量子数分配被批判性地讨论，并将预测的能级与现有的实验数据进行比较。得到的核波函数用于计算微观 IBFM-2 中从 $^{(115,117)}$Rh 到 $^{(115,117)}$Pd 的跃迁的 $\beta$-decay $ft$ 值和结果与数据对比。