arXiv 1811.093672018-11nucl-thnucl-ex

核$β^-$的壳模型结果--$sd$壳核的衰变性质

Shell model results for nuclear $β^-$-decay properties of $sd$ shell nuclei

Anil Kumar, Praveen C. Srivastava, Toshio Suzuki

备注：: 11 pages, 15 figures, 2 tables, Accepted version in Progress of Theoretical and Experimental Physics (2020).[The Physical Society of Japan]
发表信息：: Prog Theor Exp Phys, Volume 2020, Issue 3, March 2020, 033D01
DOI：: 10.1093/ptep/ptaa012

摘要：

在核壳模型的框架下，利用现代$ab~intio$方法，如介质内相似重整化群和耦合集团理论导出的价空间哈密顿量，系统地计算了含$Z = 8 - 15$核的允许$β^-$衰变性质.为了比较，我们还显示了从手征有效场论和唯象USDB相互作用得到的拟合相互作用的结果。我们计算了O $\rightarrow$ F，F $\rightarrow$ Ne，Ne $\rightarrow$ Na，Na $\rightarrow$ Mg，Mg $\rightarrow$ Al，Al $\rightarrow$ Si，Si $\rightarrow$ P和P $\rightarrow$ S跃迁。讨论了$B(GT)$、log $ft$值和半衰期的理论结果，并与现有的实验数据进行了比较。

英文摘要：

We evaluate the allowed $β^-$-decay properties of nuclei with $Z = 8 - 15$ systematically under the framework of the nuclear shell model with the use of the valence space Hamiltonians derived from modern $ab~intio$ methods, such as in-medium similarity renormalization group and coupled-cluster theory. For comparison we also show results obtained with fitted interaction derived from the chiral effective field theory and phenomenological USDB interaction. We have performed calculations for O $\rightarrow$ F, F $\rightarrow$ Ne, Ne $\rightarrow$ Na, Na $\rightarrow$ Mg, Mg $\rightarrow$ Al, Al $\rightarrow$ Si, Si $\rightarrow$ P and P $\rightarrow$ S transitions. Theoretical results of $B(GT)$, log$ft$ values and half-lives, are discussed and compared with the available experimental data.

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