In this communication, we report our calculations of Triple Differential Cross-Section (TDCS) for the relativistic (e,2e) process with a twisted electron beam on Cu and Ag atomic targets in coplanar asymmetric geometry mode. The theoretical formalism has been developed in the first Born approximation (FBA) in which we use the Dirac plane wave as well as the twisted electron wave for the incident electron beam to study the effect of various parameters of the twisted electron beam on the (e,2e) process. We use Dirac plane wave, semi relativistic Coulomb wave and Darwin wave function for the scattered, ejected and K-shell electron respectively. We compare the angular profiles of the TDCS of the twisted electron impact (e,2e) process with that of the plane wave. We segregate the TDCS for charge-charge interaction and current-current interaction with their interference term and study the effect of different parameters of the twisted electron beam on them. The study is also extended to the macroscopic Cu and Ag targets to further investigate the effect of the opening angle of the twisted electron beam on TDCS. The spin asymmetry in TDCS caused by polarized incident electron beam is also studied to elucidate the effects of the twisted electron beam on the (e,2e) process.
Resonant scattering of plane-wave and twisted photons at the Gamma Factory
本文从理论上研究了γ工厂计划的核心过程--超相对论部分剥离离子对激光光子的共振弹性散射。在我们的研究中，特别强调的是放置在对撞机和离子静止参考系中观察到的散射光子的角分布和偏振。为了描述任意相对论多电子离子的这些（角和极化）性质，一般的方法，应用不可约极化张量的基础上，奠定了。通过利用偏振张量，我们详细探讨了传统的平面波和扭曲（或涡旋）光子的散射。对于前一种情况，我们显示了如何传播方向和偏振态的入射和出射光子是相互关联的$n S_{0} \to n' P_{1} \to n S_{0}$，$n S_{1/2} \to n' P_{1/2} \to n S_{1/2}$和$n S_{1/2} \to n' P_{3/2} \to n S_{1/2}$共振跃迁。对于初始扭曲的光的散射，携带非零的轨道角动量，我们探讨的角度分布的二次光子，并讨论的条件下，他们也扭曲。
