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arXiv 2203.14955hep-ph
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电弱理论中μ中微子与电子的Laser辅助散射

Laser-assisted scattering of a muon neutrino by an electron within the Electroweak theory

S. El Asri, S. Mouslih, M. Ouali, S. Taj, B Manaut

摘要:

根据电弱理论,在第一玻恩近似下,对有、无圆偏振激光场作用下弹性散射过程$e^{-}+ν_μ\longrightarrow e^{-}+ν_μ$的微分截面(DCS)进行了详细的解析处理.利用Dirac Volkov波函数研究了外激光场中带电粒子的散射过程。在费米理论的框架内得到的微分截面的理论结果相比,没有激光场的其他理论结果。这些结果揭示了最重要的几点,有助于理解电弱理论在解决费米理论中微分截面的么正性破坏问题中的作用。通过将电子插入到电磁场中,微分截面被显著地修改。此外,还讨论了激光强度及其频率对碰撞系统与激光场之间光子交换的影响。这些效应与理论计算中引入的普通贝塞尔函数的阶数和幅角密切相关。

英文摘要:

In accordance with the electroweak theory, we perform, in the first-Born approximation, a detailed analytical treatment of the differential cross-section (DCS) for the elastic scattering process $e^{-}+ν_μ\longrightarrow e^{-}+ν_μ$ in both absence and presence of a circularly polarized laser field. This scattering process is examined by using Dirac-Volkov wave functions for charged particles within an external laser field. The theoretical results obtained for the differential cross-section without laser field are compared with other theoretical results within the framework of Fermi theory. These results revealed to us the most important points that contribute to the understanding of the electroweak theory role in solving the problem of unitarity violation of the differential cross-section in Fermi theory. The differential cross section is modified significantly by inserting the electrons into an electromagnetic field. In addition, the influence of the laser strength and its frequency on the photons exchange between the colliding system and the laser field are also included and discussed. These effects are heavily related to the order and argument of the ordinary Bessel functions introduced in the theoretical calculation.

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