Mott scattering in the presence of a linearly polarized laser field

Abstract

The Mott scattering in the presence of a linearly polarized laser field is investigated in the first Born approximation. The theoretical results indicate that at medium and large scattering angles, a large amount of multiphoton processes take place in the course of scattering. The photoabsorption ͑inverse bremsstrahlung͒ predominates the photoemission ͑bremsstrahlung͒. The sum rule for the multiphoton cross sections is notably violated. When the laser polarization deviates from the incident direction, the laser-modified ͑summed͒ cross section shows a considerable dependence on the azimuthal angle of the scattered electron. The dependencies of the cross section on the field strength, the frequency, the polarization direction, and the electron-impact energy are studied.

Mott scattering in an elliptically polarized laser field

“…It can easily be checked that for the case of a linear polarization of the laser field (η = 0), the phase φ 0 = 0 and the results of S.M. Li et al [1] are straightforward to obtain whereas for the circular polarization (η = π/2), we find the results previously found by Y. Attaourti et al [2]. Eq.…”

“…Li et al [1] and the work of Y. Attaourti et al [2]. We hope this contribution will be useful to all researchers working in this field and will bring an end to the controversy raised by the expression found by C. Szymanowski et al [3] for the case of a circular polarization of the laser field.…”

Laser-assisted Mott scattering in the Coulomb approximation

“…In this section we analyse the numerical results for the Mott scattering assisted by a linearly polarized laser field in the CA, and make a comparison with the corresponding results obtained within the FBA [7]. As in [7], we choose the origin of the frame of reference to coincide with the target which is supposed to be an infinitely massive nucleus.…”

“…As in [7], we choose the origin of the frame of reference to coincide with the target which is supposed to be an infinitely massive nucleus. The z-axis lies in the direction of the incident momentum p of the impact electron, the y-axis is chosen along the direction of the field wave vector k, and the electric field vector E 0 is supposed to be in the xz-plane.…”

“…These advances have triggered a renewed interest in the theoretical aspects of this process. Here we mention several theoretical studies on laser-assisted Mott scattering which are of direct relevance to the present work: based on the theory of Denisov and Fedorov [3] the relativistic potential scattering in the presence of a strong laser field has been investigated in the first Born approximation (FBA) [4][5][6][7]. Rosenberg and co-worker [8] studied the laser-assisted relativistic scattering of a charged particle by a force centre using variational approaches.…”