arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2003.05060nucl-th
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双核子相互作用单个组分在$^\textbf{48}$ Ca的$2νββ$和$0νββ$核矩阵元中的作用:超越闭合近似

Role of individual components of two-nucleon interaction in nuclear matrix elements of $2νββ$ and $0νββ$ of $^\textbf{48}$Ca: Beyond the closure approximation

Shahariar Sarkar, Pawan Kumar, Kanhaiya Jha, P. K. Raina

摘要:

本文在封闭近似和非封闭近似下研究了双核子相互作用的中心分量、自旋轨道分量和张量分量在双中微子双β衰变核矩阵元中的作用以及$0νββ$ Ca的无中微子双β衰变轻中微子交换机制.在核壳模型框架下,采用$pf$壳层的双核子有效相互作用GXPF 1A计算了NME。利用自旋张量分解(STD)将壳模型中的双核子相互作用分解为单个分量。用运行非封闭方法计算了$2νββ$的NME。用封闭法、运行封闭法、运行非封闭法和混合法计算了$0νββ$的NME。结果表明,与C分量相比,C+SO分量使$2νββ$的NME值减小了约7%.通过在C+SO分量中加入T分量,NME的幅度进一步减小约9%.在不同的SRC参数化条件下,用运行非封闭方法计算的$0νββ$的NME比用C、C+SO和(C+SO+T)GXPF 1A相互作用计算的NME分别提高了8- 10%、8- 10%和9- 12%.对于$2νββ$和$0νββ$,用C+SO分量计算的NME与用C分量和总GXPF 1A相互作用计算的NME处于相反的相位。

英文摘要:

In the present work, we examine the role of central (C), spin-orbit (SO) and tensor (T) components of two-nucleon interaction in the nuclear matrix elements (NMEs) of the two-neutrino double beta decay ($2νββ$) and the light neutrino-exchange mechanism of neutrinoless double beta decay ($0νββ$) of $^{48}$Ca in closure approximation and nonclosure approach. The NMEs are calculated in the nuclear shell-model framework using two-nucleon effective interaction GXPF1A used for $pf$ shell. The decomposition of the shell model two-nucleon interaction into its individual components is performed using the spin-tensor decomposition (STD). The NMEs for $2νββ$ are calculated in running nonclosure method. The NMEs for $0νββ$ are calculated with four different methods, namely, closure, running closure, running nonclosure, and mixed method. Results show that the magnitude of NMEs for $2νββ$ decreases about 7\% with the C+SO component of the interaction as compared to the C component. The magnitude of NMEs is further decreased about 9\% by adding T component to the C+SO component. The NMEs of $0νββ$ calculated in running nonclosure method are enhanced by about 8-10\%, 8-10\%, and 9-12\%, respectively, as compared to corresponding NMEs calculated in running closure method with C, C+SO components and total (C+SO+T) GXPF1A interaction for different SRC parametrization. For both $2νββ$ and $0νββ$, the NMEs calculated with C+SO component is in opposite phase with the NMEs calculated with C component and the total GXPF1A interaction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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