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Δ共振对中子衰变和逆β衰变中QED辐射修正的贡献

$Δ$ resonance contributions to QED radiative corrections in neutron and inverse beta decay

Oleksandr Tomalak, Yi-Bo Yang

arXiv 2608.22845首次发表:更新:

发表机构

Institute of Theoretical Physics, Chinese Academy of Sciences; University of Chinese Academy of Sciences, School of Physical Sciences; School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS; International Centre for Theoretical Physics Asia-Pacific(中国科学院理论物理研究所; 中国科学院大学物理科学学院; 杭州高等研究院基础物理与数学学院; 亚太理论物理中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究将Δ(1232)共振纳入相关QED辐射修正,明确其对轴矢量荷的幂次计数与IBD辐射修正的影响,为核子荷及IBD的理论计算提供了关键修正。

AI 中文摘要

我们将Δ(1232)共振纳入由π介子引发的中子衰变和逆β衰变(IBD)的QED辐射修正中。在包含显式Δ自由度的重子手征微扰论框架内,我们计算了额外贡献并研究了其对IBD截面及核子同位旋矢量矢量荷、轴矢量荷重整化的影响。Δ共振不会重整化矢量荷;对于轴矢量荷,纳入Δ共振可恢复幂次计数,并显著降低实验与格点QCD比值g_A/(g^QCD_A g_V)的QED辐射修正,使其在辐射修正不确定度范围内趋于零。Δ共振使π介子引发的IBD QED辐射修正提升1.2至1.3倍。

英文摘要

We incorporate the $Δ(1232)$ resonance into pion-induced QED radiative corrections to neutron decay and inverse beta decay (IBD). Within the framework of heavy-baryon chiral perturbation theory with explicit $Δ$ degrees of freedom, we compute additional contributions and study their impact on IBD cross sections and on the renormalization of the nucleon isovector vector and axial-vector charges. $Δ$ resonance does not renormalize the vector charge. For the axial-vector charge, including the $Δ$ resonance improves convergence and reduces the QED radiative correction to the experiment-over-lattice-QCD ratio $g_A/\left(g^\mathrm{QCD}_A g_V\right)$. $Δ$ resonance increases the pion-induced QED radiative corrections to IBD by a factor $1.2$-$1.3$.

Comments19 pages, 1 figure, expressions and results corrected

论文原文

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