库仑修正用于非翻转和自旋翻转电磁$\boldsymbol{p}^\uparrow\\!\boldsymbol{A}$振幅
Coulomb corrections for the non-flip and spin-flip electromagnetic $\boldsymbol{p}^\uparrow\!\boldsymbol{A}$ amplitudes
AI总结：
本文通过回旋法证明非翻转和自旋翻转电磁$\p^\uparrow A$振幅在相同形式因子下库仑修正相同，为高精度计算提供了系统框架。
摘要：
在回旋法框架内，证明了非翻转和自旋翻转质子-核振幅的库仑修正当两种振幅具有相同的指数形式因子时是相同的。这一结果允许在质子-核弹性$\p^\uparrow A$振幅中，特别是在无质量光子极限下，对电磁和强相互作用弹性$\p^\uparrow A$振幅的库仑修正进行数值计算，并具有高精度，包括软磁光子交换的影响。该方法依赖于解析表达式和对有限撞击参数范围的数值积分，具有非奇异的被积函数，为现象学应用提供了一个实用且系统可控的框架。
英文摘要：
It is demonstrated that, within the eikonal approach, the Coulomb corrections to the elastic electromagnetic non-flip and spin-flip proton--nucleus amplitudes are identical when the two amplitudes share the same exponential form factors. This result allows Coulomb corrections to be computed numerically, and with high precision, for both electromagnetic and hadronic elastic $p^{\uparrow}A$ amplitudes in the massless-photon limit, including the effects of soft magnetic photon exchange. The method relies on analytical expressions and numerical integrations over a finite impact-parameter range with nonsingular integrands, providing a practical and systematically controlled framework for phenomenological applications.
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。
