论文标题
48CA的中性链双β衰减矩阵元素的统计分析
A Statistical Analysis for the Neutrinoless Double-Beta Decay Matrix element of 48Ca
论文作者
论文摘要
中准双β衰减（$0νβ$）核基质元件（NME）是许多理论计算方法的对象，对于大量实验工作的分析和指导非常重要。但是，不同方法提供的NME值之间存在很大的差异。在本文中，我们提出了使用相互作用的壳模型对$^{48} $ CA $0νβ$ NME进行统计分析，强调了NME可能值的范围及其与可从现有核数据获得的可观察值的相关性。基于对三个独立有效汉密尔顿人的统计分析，我们提出了$0νβ$ nme的共同概率分布函数，该范围在90 \％置信度的范围为（0.45-0.95）的范围，平均值为0.68。
Neutrinoless double beta decay ($0νββ$) nuclear matrix elements (NME) are the object of many theoretical calculation methods, and are very important for analysis and guidance of a large number of experimental efforts. However, there are large discrepancies between the NME values provided by different methods. In this paper we propose a statistical analysis of the $^{48}$Ca $0νββ$ NME using the interacting shell model, emphasizing the range of the NME probable values and its correlations with observables that can be obtained from the existing nuclear data. Based on this statistical analysis with three independent effective Hamiltonians we propose a common probability distribution function for the $0νββ$ NME, which has a range of (0.45 - 0.95) at 90\% confidence level of, and a mean value of 0.68.
