摘要: 介绍了在双β衰变中的闭合近似下的原子核矩阵元，并在此基础上研究了无中微子双β衰变的中微子势部分及统计性质。分析结果显示，费米型和伽莫夫-泰勒型矩阵元部分贡献了几乎相等的正值，并且费米型部分一般比伽莫夫-泰勒型部分的贡献稍大，而张量部分的贡献虽小但不可忽略，其中有少量矩阵元为负。阐明了无中微子双β衰变的中微子势中费米型、伽莫夫-泰勒型及张量部分大于零矩阵元的关联。该统计结果粗略地揭示了这些组份对原子核矩阵元的贡献。


Nuclear matrix element in double beta decay under the closure approximation is outlined, in which neutrino potential for neutrinoless double beta decay is studied with focusing on its statistical property. It is shown from the analysis that Fermi and Gamow-Teller parts provide almost the same positive values with the Fermi part slightly larger than the Gamow-Teller part in general, while the tensor part includes small but non-negligible positive and negative values. Positive correlation of the values between Fermi, Gamow-Teller, and tensor parts has been clarified. The statistics provides a gross view of understanding amplitude of constitutional components of the nuclear matrix element.