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- W4366999319 abstract "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 $nin lbrace 2,3,4,5rbrace$. 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." @default.
- W4366999319 created "2023-04-27" @default.
- W4366999319 creator A5008862885 @default.
- W4366999319 date "2023-04-21" @default.
- W4366999319 modified "2023-10-18" @default.
- W4366999319 title "Fresh study of simultaneous electron-photon excitation of a Hydrogen atom based on Bethe-Born approximation" @default.
- W4366999319 doi "https://doi.org/10.48550/arxiv.2304.11304" @default.
- W4366999319 hasPublicationYear "2023" @default.
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