2023/04/22 by Behnam Nikoobakht, Nikoobakht, Behnam
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Laser-Matter Interactions and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2304.11304
openalex publication_date 2023/04/22 · openalex created_date 2023/04/27 · openalex updated_date 2026/07/28
The advent of powerful laser sources has made it possible to observe a relatively large cross section of the excited state of Hydrogen atom. This is due to the effect of joint collisions of a linearly polarized N-photon and high-energy electron. For such a process, we evaluate the excitation cross section for geometries, in which the laser field is perpendicular or parallel to the initial momentum of the electron. The second-order, time-dependent perturbation theory together with Bethe-Born approximation suitable for an electron with a large incident energy is employed to obtain the transition amplitude. The amplitudes are calculated for the S-S and S-D transitions of the Hydrogen atom in the Sturmian representation of the non-relativistic Green's function. In particular, we investigate the excitation cross sections for transitions, which have an initial state 1S and final state nS with n∈ \lbrace 2,3,4,5\rbrace. The characteristic dependence of the excitation cross section on the momentum of the projectile is shown and discussed. Our investigation indicates that the Bethe-Born approximation yields reasonable results for the excitation cross section of the simultaneous electron photon excitation process when a high energy projectile is treated.