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arXiv 2203.14570hep-phhep-exnucl-exnucl-th
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用强子模型和色散关系方法研究小$-t$时$ep\rightarrow enπ^+$中的双光子交换效应

Two-Photon-Exchange effect in $ep\rightarrow enπ^+$ at small $-t$ with the hadronic model and dispersion relation approach

Qian-Qian Guo, Hai-Qing Zhou

摘要:

在这项工作中,双光子交换(TPE)效应在$ep\rightarrow enπ^+$在小$-t$进行了讨论。在前人的工作中,我们在π介子占优近似下,在强子模型中对含有一个$π$中间态的TPE贡献进行了数值估计。这里我们将讨论扩展到包括一个$ρ$中间状态。在极限$m_e\rightarrow 0$下,TPE的贡献可以用一个标量函数来描述,并分析了该标量函数所满足的色散关系。在强子模型下给出了一个$π$或一个$ρ$中间态的TPE贡献虚部的解析表达式。结合这些解析表达式和DR,TPE贡献的相应实部可以很容易地在任何可用的区域进行估计。这可以帮助进一步的实验分析以方便的方式包括TPE贡献。数值结果表明,在当前能区,含一个$ρ$中间态的TPE修正远小于含一个$π$中间态的TPE修正。这些结果表明,在小的$-t$下,具有弹性状态的TPE贡献是$ep\rightarrow enπ^+$中的主要TPE贡献。

英文摘要:

In this work, the two-photon-exchange (TPE) effect in $ep\rightarrow enπ^+$ at small $-t$ is discussed. In the previous work, the TPE contribution with one $π$ intermediate state is estimated numerically within a hadronic model under the pion-dominance approximation. Here we extend the discussion to include one $ρ$ intermediate state. The TPE contribution can be described by one scalar function in the limit $m_e\rightarrow 0$, the dispersion relation (DR) satisfied by this scalar function is analysed. The analytic expressions for the imaginary parts of the TPE contributions from one $π$ or one $ρ$ intermediate state are given within the hadronic model. Combining these analytic expressions and the DR, the corresponding real parts of the TPE contributions can be estimated easily at any available region. This can help the further experimental analysis to include the TPE contributions in a convenient way. The numeric results show that the TPE correction with one $ρ$ intermediate state is much smaller than that with one $π$ intermediate state in the current energy region. These results suggest that the TPE contribution with an elastic state is the main TPE contribution in $ep\rightarrow enπ^+$ at small $-t$.

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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