Abstract:The process of nonresonant scattering of nonrelativistic electron by nonrelativistic muon in the pulsed light field 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 the crosssection of nonresonant scattering of nonrelativistic electron by nonrelativistic muon are derived in the case of moderately strong elliptically polarized pulsed light wave. It is demonstrated, that the process partial cross-section in the pulsed light field differs substantially from the corresponding one in the field of plane monochromatic wave. The dependence of the ratio of the total differential cross-section of the scattering of nonrelativistic electron by nonrelativistic muon in the pulsed light field and the corresponding one in the external field absence