Nonlinear effects in the laser-assisted scattering of a positron by a muon

Abstract

The scattering of a positron by a muon in the presence of a linearly polarized laser field is investigated in the first Born approximation. The theoretical results reveals: 1) at large scattering angle, an amount of multiphoton processes take place in the course of scattering. The photon emission processes predominant the photon absorption ones. 2) Some nonlinear phenomena about oscillations, dark angular windows, and asymmetry can be observed in angular distributions. We analyze the reason giving rise to dark windows and geometric asymmetry initially noted in the potential scattering. 3) we also analyze the total differential cross section, the result shows that the larger the incident energy is, the smaller total differential cross section is. The reason of these new results are analysed.