论文标题
底部辐射过渡的轻度散射总和规则
Light-by-light scattering sum rule for radiative transitions of bottomonia
论文作者
论文摘要
我们将一个向前的光散射总和规则概括为重夸克辐射过渡的情况。我们将这种总规则应用于底部元状态，并在其评估中使用可用数据。对于在实验上未知的过渡，我们在潜在模型中提供了理论估计，并将文献中相似方法之间的扩散视为模型误差的估计值。对于$υ（1s）$，$υ（2s）$，$υ（3s）$ nates，我们观察到，由于涉及$χ_{b0}的过渡之间的取消，χ_{B1} $，$χ_{B2} $ state在实验性错误估计中满足了总和。在对低洼底部状态测试了此总和后，它可以用作通过相应的辐射跃迁来研究慈善和底部光谱中外来状态的性质的工具。
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.
