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Laser-assisted electron-ion scattering by the Coulomb-Glauber approximation

In this paper, we extend the Coulomb-Glauber approximation to charged particles scattering processes in the presence of a laser field. With this method, laser-assisted electron scattering by hydrogen-like ions is studied. Numerical results of the elastic and 1s→2s, 1s→2p excitation scattering differential cross sections are obtained. Based on these results we discuss and compare with the Born approximation, the selection rules, the dressing effects and the use of the closure approximation in the calculation of the S-matrix. The cross section of the elastic scattering as a function of the charge number Z has also been shown.