Studies of low energy $l+p\to l+p+γ$ process in covariant chiral perturbation theory
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866917270825992192 |
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| author | Wang, Xu Kang, Kai-Ge Xiao, Zhiguang Zheng, Han-Qing |
| author_facet | Wang, Xu Kang, Kai-Ge Xiao, Zhiguang Zheng, Han-Qing |
| contents | This study presents a tree-level calculation of the scattering amplitude for the $lp\to lpγ$ (with a hard photon) process within the framework of Chiral Perturbation Theory. Our calculations, based on the $O(p^2)$ and $O(p^3)$ nucleon-pion Lagrangians, aim to provide a theoretical prediction for the differential cross-section. The result shows that explicit inclusion of the nonzero lepton mass significantly influences the low energy differential cross section for $μp\to μp γ$ process. The kinematic region of the present experimental data is beyond the validity domain of the $χ$PT and is therefore not suitable for determining the low-energy constants (LECs). By comparing our results with future experimental data, we expect to determine the values of the LECs as a further test of $χ$PT as an effective low-energy theory of QCD. The process is of significant interest as it can help to determine the generalized polarizabilities of the nucleon. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_12119 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Studies of low energy $l+p\to l+p+γ$ process in covariant chiral perturbation theory Wang, Xu Kang, Kai-Ge Xiao, Zhiguang Zheng, Han-Qing High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory This study presents a tree-level calculation of the scattering amplitude for the $lp\to lpγ$ (with a hard photon) process within the framework of Chiral Perturbation Theory. Our calculations, based on the $O(p^2)$ and $O(p^3)$ nucleon-pion Lagrangians, aim to provide a theoretical prediction for the differential cross-section. The result shows that explicit inclusion of the nonzero lepton mass significantly influences the low energy differential cross section for $μp\to μp γ$ process. The kinematic region of the present experimental data is beyond the validity domain of the $χ$PT and is therefore not suitable for determining the low-energy constants (LECs). By comparing our results with future experimental data, we expect to determine the values of the LECs as a further test of $χ$PT as an effective low-energy theory of QCD. The process is of significant interest as it can help to determine the generalized polarizabilities of the nucleon. |
| title | Studies of low energy $l+p\to l+p+γ$ process in covariant chiral perturbation theory |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory |
| url | https://arxiv.org/abs/2602.12119 |