Reliability of usual assumptions in the calculation of β and ν spectra

Reliability of usual assumptions in the calculation of β and ν spectra
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DOI:
10.1103/physrevc.91.055504
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发表时间:
2015-05-18
期刊:
影响因子:
3.1
通讯作者:
Mougeot, X.
Mougeot, X.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Mougeot, X.

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为了检验在计算β(β)和中微子(Nu)光谱时最常见的假设的相关性,创建了一个包含130个不同跃迁的测量形状因子数据库。定义了一些分析参数来表征计算光谱的质量。文中给出了理论和实验的系统比较结果。系统地证明了被禁唯一跃迁的lambda(K)=1近似比理论形状因子的正确计算要差,其中包含了lambda(K)参数的能量依赖性。对于禁止的非唯一跃迁,XI近似仅对第一个禁止的非唯一跃迁的一半有效,在所有其他情况下都是不正确的。如果2xi/E-0<100,则证明了标准2xi/E-0>1本身是不充分的。
To test the relevance of the most common assumptions in the calculation of beta (beta) and neutrino (nu) spectra, a database of measured shape factors was created, containing 130 distinct transitions. Some analysis parameters were defined to characterize the quality of the calculated spectra. Results from this systematic comparison between theory and experiment are presented in detail. The lambda(k) = 1 approximation for forbidden unique transitions is shown to be systematically worse than the correct calculation of the theoretical shape factors, where the energy dependence of the lambda(k) parameters is included. Regarding forbidden nonunique transitions, the xi approximation is found to be valid for only about half of the first forbidden nonunique transitions and incorrect in all other cases. The criterion 2 xi/E-0 >> 1 is proved to be insufficient in itself if 2 xi/E-0 < 100.