Nonresonant electron-muon scattering in the pulsed electromagnetic field

The nonresonant scattering of an electron by a muon in the field of a pulsed light wave in the frame of the Born approximation is investigated theoretically. The approximation when a pulsewidth is considerably greater than the characteristic time of the wave oscillation is considered. The analytical expressions for the amplitude and cross-section of mentioned process are derived in case of moderately strong elliptically polarized wave. It is shown that in the case of initial particlespsila relativistic energies the partial differential cross-section is factorized as a product of the cross-section of electron-muon scattering in the absence of the external field and the probability of emission (absorption) |l| photons from the wave. After summation over all possible processes of wave photons emission and absorption all the essential quantum terms cancel each other. As a result the cross-section coincides with the cross-section of electron-muon scattering in the absence of the external field.