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arXiv 2005.12323hep-ph
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底质辐射跃迁的光-光散射求和规则

Light-by-light scattering sum rule for radiative transitions of bottomonia

Victor Ananyev, Igor Danilkin, Marc Vanderhaeghen

摘要:

我们将前向光-光散射求和规则推广到重夸克偶素辐射跃迁的情形。我们将这种求和规则应用于bottomonium态,并使用现有的辐射跃迁数据进行评估。对于实验上未知的过渡,我们提供了一个潜在的模型内的理论估计,并考虑在文献中类似的方法之间的传播作为模型误差的估计。对于$Υ(1S)$、$Υ(2S)$和$Υ(3S)$状态,我们观察到,由于涉及$χ_{b0}, χ_{b1}$和$χ_{b2}$状态的跃迁之间的抵消,在实验和理论误差估计内满足求和规则。在对低位bottomonium态的求和规则进行了测试之后,它可以作为一种工具,通过相应的辐射跃迁来研究粲偶素和bottomonium光谱中奇异态的性质。

英文摘要:

We generalize a forward light-by-light scattering sum rule to the case of heavy quarkonium radiative transitions. We apply such sum rule to the bottomonium states, and use available data on radiative transitions in its evaluation. For the transitions that are not known experimentally, we provide theoretical estimates within a potential model, and consider the spread between similar approaches in the literature as an estimate for the model error. For the $Υ(1S)$, $Υ(2S)$, and $Υ(3S)$ states we observe that, due to a cancellation between transitions involving $χ_{b0}, χ_{b1}$, and $χ_{b2}$ states, the sum rule is satisfied within experimental and theoretical error estimates. Having tested this sum rule for the low-lying bottomonium states, it may be used as a tool to investigate the nature of exotic states in the charmonium and bottomonium spectrum through the corresponding radiative transitions.

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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