论文标题
分散关系和望子模型的弹性$ EP散射中两光量交换效应的确切关系
Exact Relations for Two-Photon-Exchange Effect in Elastic $ep$ Scattering by Dispersion Relation and Hadronic Model
论文作者
论文摘要
两光子交换(TPE)效应在提取质子的形式(FFS)中起关键作用。在这项工作中,我们基于四种典型和一般相互作用的弹性$ ep $散射中介绍了TPE效应的一些确切属性。分析了可能的运动学奇异性,渐近行为和TPE振幅的分支切割。分析表达清楚地表明分散关系(DR)方法与HADRONIC模型(HM)方法之间的一些确切关系。这表明这两种方法应分别修改为一般形式。修改后,新表格给出了相同的结果。此外,由于海鸥相互作用,介子交换效应,接触相互作用和外壳效应,它们会自动,正确地包括贡献。为了分析弹性$ e^{\ pm} p $散射数据集,应使用新表格。
The two-photon-exchange (TPE) effect plays a key role to extract the form factors (FFs) of the proton. In this work, we present some exact properties on the TPE effect in the elastic $ep$ scattering based on four types of typical and general interactions. The possible kinematical singularities, the asymptotic behaviors and the branch cuts of the TPE amplitudes are analyzed. The analytic expressions clearly indicate some exact relations between the dispersion relation (DR) method and the hadronic model (HM) method. It suggests that the two methods should be modified to general forms, respectively. After the modifications the new forms give the same results. Furthermore, they automatically and correctly include the contributions due to the seagull interaction, the meson-exchange effect, the contact interactions and the off-shell effect. To analyze the elastic $e^{\pm}p$ scattering data sets, the new forms should be used.