Nonresonant scattering of relativistic electron by relativistic muon in the pulsed light field

The nonresonant scattering of an electron by a muon in the pulsed light field in the frame of the Born approximation in general relativistic case 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 electron-muon nonresonant scattering process are derived in case of moderately strong elliptically polarized pulsed laser wave. It is demonstrated, that the process partial cross-section in the pulsed laser field differs essentially from the corresponding one in the field of plane monochromatic wave.