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arXiv 2203.16936nucl-ex
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反冲阶数和辐射修正对镜像衰变中β衰变相关系数的影响

Influence of the recoil-order and radiative correction on the beta decay correlation coefficients in mirror decays

S. Vanlangendonck, N. Severijns, L. Hayen, F. Glück

摘要:

核衰变中β衰变相关系数的测量目标是低于$1\%$的精度,理论预测应该遵循这一趋势。在这项工作中,两个占主导地位的标准模型修正项,即反冲阶数和辐射修正的影响,研究了最常用的测量β相关,即$β$ -不对称参数($A_β$)和$β-ν$角相关($a_{βν}$)。反冲阶校正是用著名的Holstein公式计算的,该公式使用脉冲近似来评估实验无法达到的形状因子。对于以前未发表的$β-ν$角相关,半分析辐射校正值列表。镜像β衰变到$A=45$的结果。我们检查这两种修正的效果,并提供不同的同位素之间的比较。这种比较将有助于规划、分析和比较未来的实验工作。

英文摘要:

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 For the $β-ν$ angular correlation previously unpublished, semi-analytical radiative correction values are tabulated.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.

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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