Regime não relativístico do espalhamento Compton não linear

Abstract

In this work, we thoroughly analyze nonlinear Compton scattering in the non-relativistic regime of the incident particle and at moderate intensities, based on analytical solutions for the scalar particle with the electron charge in the presence of an external field enveloped by a finite pulse. Unlike previous approaches, which address the problem in a relativistic manner using Volkov solutions, we employ perturbation theory at lower orders to achieve a satisfactory reduction of the involved expressions, based on a clear interpretation of the system’s validity regime. We also analyze the efficiency of different pulse profiles in the scattering dynamics, introducing a new profile, not found in the literature, which we call the smooth pulse, allowing for a more realistic modeling of pulses. We apply the developed formalism to tests, obtaining an expression for the probability density of emission per solid angle per particle and carefully analyzing the influence of parameters that vary the regime.