论文标题
后坐方和辐射校正对镜像衰变中β衰减相关系数的影响
Influence of the recoil-order and radiative correction on the beta decay correlation coefficients in mirror decays
论文作者
论文摘要
核衰减中β衰减相关系数的测量值低于$ 1 \％$，理论预测应遵循这一趋势。在这项工作中，研究了两个主要标准模型校正项的影响，即后坐方和辐射校正，以最常见的测量β相关性，即$β$ -Asmymmetry参数（$a_β$）和$β-bent $ Angular contularation（$β-ne）和Angular hangular coneralation（$ a_____ a_ a_ ph）。使用脉冲近似来评估实验上无法接近的形式因素，通过众所周知的荷斯坦形式主义计算后坐方校正。对于先前未发表的$β-ν$角相关性，半分析辐射校正值被制表。镜像beta衰减最多$ a = 45 $。我们检查了这两种校正的效果，并提供了不同同位素之间的比较。这种比较将有助于计划，分析和比较未来的实验工作。
Measurements of the beta decay correlation coefficients in nuclear decay aim for a precision below $1\%$ and theoretical predictions should follow this trend. In this work, the influence of the two dominant Standard Model correction terms, i.e. the recoil-order and the radiative correction, are studied for the most commonly measured beta correlations, i.e. the $β$-asymmetry parameter ($A_β$) and the $β-ν$ angular correlation ($a_{βν}$). The recoil-order correction is calculated with the well-known Holstein formalism using the impulse approximation to evaluate experimentally inaccessible form factors. For the $β-ν$ angular correlation previously unpublished, semi-analytical radiative correction values are tabulated. Results are presented for the mirror beta decays up to $A=45$. We examine the effect of both corrections and provide a comparison between different isotopes. This comparison will help planning, analysing, and comparing future experimental efforts.
