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低质量矢量玻色子交换在更高波矩阵元中的相对增强:氢中的宇称不守恒

Relative enhancement of low-mass vector-boson exchange in higher waves matrix elements: parity non-conservation in hydrogen

V. A. Dzuba, V. V. Flambaum, G. K. Vong

arXiv 2607.17440首次发表:更新:

AI 中文总结

研究统一模型中额外\(Z'\)玻色子对氢中宇称不守恒的贡献,通过分析弱相互作用矩阵元,发现更高波矩阵元有相对增强,测量特定矩阵元可简化分离\(Z'\)贡献与标准模型背景的过程。

AI 中文摘要

统一模型预测存在额外的\(Z'\)玻色子,它对原子中的宇称不守恒(PNC)有贡献。若\(Z'\)玻色子质量轻,其对原子PNC的贡献与标准模型\(Z\)玻色子贡献之比随核电荷\(Z\)减小比\(1/Z^2\)更快。这促使之前对氢和氘中PNC与弱相互作用矩阵元\(<s|W|p>\)成正比的研究。在更高波矩阵元如\(<p_{1/2,3/2} | W | d_{3/2,5/2}>\)中出现巨大额外相对增强,因\(p_{3/2}\)和\(d_{3/2,5/2}\)波函数在\(r \to 0\)时消失,抑制了接触\(Z\)玻色子介导的接触电子 - 核相互作用的矩阵元。对\(<p_{1/2,3/2} | W | d_{3/2,5/2}>\)的测量将简化从标准模型背景中分离\(Z'\)贡献的过程。

英文摘要

Models of unification predict additional $Z'$ boson, which contributes to parity non-conservation (PNC) in atoms. If $Z'$ boson is light, ratio of $Z'$ boson contribution to the Standard Model $Z$ boson contribution to atomic PNC increases with decreasing nuclear charge $Z$ faster than $1/Z^2$. This motivated our previous study of PNC in hydrogen and deuterium proportional to the weak interaction matrix elements $<s|W|p> $. An enormous additional relative enhancement appears in the matrix elements between higher waves, such as $<p_{1/2,3/2} | W | d_{3/2,5/2}> $, since $p_{3/2}$ and $d_{3/2,5/2}$ wave functions vanish at $r \to 0$, suppressing matrix elements of the contact $Z$ boson mediated contact electron-nucleus interaction. Measurements of $<p_{1/2,3/2} | W | d_{3/2,5/2}> $ will simplify disentanglement of the $Z'$ contribution from the Standard Model background.

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