论文标题
$ e^+ e^ - \rightarrowπ^+π^ - $ in SMALL $ \ sqrt {s} $中的两光子交换效果
Two-photon exchange effects in $e^+ e^-\rightarrowπ^+π^-$ at small $ \sqrt{s}$
论文作者
论文摘要
在这项工作中，在hadroonic模型中讨论了$ e^+ e^ - \rightArrowπ^+π^ - $的两photon-exchange（tpe）效果。在限制$ m_e \ rightarrow 0 $中，可以通过一个标量函数$ \ overline {c} _ {1}^{（2γ）} $描述TPE对振幅的贡献。该功能与一键交换中的相应贡献之间的比率$ c_ {1}^{（1γ）} $反映了TPE校正的所有信息。提出了该比率的数值结果，并使用人工功能来符合数值结果。后者可以方便地用于进一步的实验数据分析。数值结果表明，$ e^+ e^ - \rightArrowπ^+π^ - $在$ \ sqrt {s} \ sim 0.7 $ gev中的差分横截面的不对称性。
In this work, the two-photon-exchange (TPE) effects in $e^+e^- \rightarrow π^+ π^-$ at small $\sqrt{s}$ are discussed within a hadronic model. In the limit $m_e\rightarrow 0$, the TPE contribution to the amplitude can be described by one scalar function $\overline{c}_{1}^{(2γ)}$. The ratio between this function and the corresponding contribution in one-photon exchange $c_{1}^{(1γ)}$ reflects all the information of the TPE corrections. The numerical results on this ratio are presented and an artificial function is used to fit the numerical results. The latter can be used conveniently in the further experimental data analysis. The numerical results show the asymmetry of the differential cross sections in $e^+e^- \rightarrow π^+ π^-$ is about $-4\%$ at $\sqrt{s}\sim 0.7$ GeV.
