论文标题
第二forbidding noniqud $β^ - $^$^{24} $ na和$^{36} $ cl由核壳模型评估
Second-forbidden nonunique $β^-$ decays of $^{24}$Na and $^{36}$Cl assessed by the nuclear shell model
论文作者
论文摘要
我们已经对log $ ft $值，形状因子和电子光谱进行了系统研究在核壳模型的框架下。我们使用了最新的显微镜有效相互作用，例如Daejeon16，Mathal N3Lo和JISP16，在$ SD $模型空间中进行了Shell模型计算。这些相互作用是使用Okubo-Lee-Suzuki转换的无核壳模型波函数得出的。为了进行比较，我们还显示了从现象学USDB相互作用中得出的结果。为了测试这些相互作用的预测能力，首先，我们计算了与这些过渡有关的父母和女儿核的低洼能量光谱。报告了能源光谱，核基质元件，log $ ft $值，形状因子，电子光谱和集成形状因子的分解结果的结果，并与可用的实验数据进行了比较。
We have performed a systematic study of the log$ft$ values, shape factors and electron spectra for the second-forbidden nonunique $β^-$ decays of $^{24}$Na$(4^+) \rightarrow ^{24}$Mg$(2^+)$ and $^{36}$Cl$(2^+) \rightarrow ^{36}$Ar$(0^+)$ transitions under the framework of the nuclear shell model. We have performed the shell model calculations in the $sd$ model space, using more recent microscopic effective interactions such as Daejeon16, chiral N3LO, and JISP16. These interactions are derived from the no-core shell model wave functions using Okubo-Lee-Suzuki transformation.For comparison, we have also shown the results obtain from the phenomenological USDB interaction. To test the predictive power of these interactions first we have computed low-lying energy spectra of parent and daughter nuclei involved in these transitions. The computed results for energy spectra, nuclear matrix elements, log$ft$ values, shape factors, electron spectra and decomposition of the integrated shape factor are reported and compare with the available experimental data.
