Nonresonant scattering of an electron by a muon in the field of plane electromagnetic wave

In the frame of the Born approximation we theoretically investigate nonresonant scattering of an electron by a muon in the field of elliptically polarized electromagnetic wave in the general relativistic case. It is studied kinematics of a scattering of an electron in resonant and nonresonant regions. It is derived the expressions for the amplitude and the cross section of the nonresonant scattering of an electron by a union in the wave field. It is shown that an external field has an essentially influence on the process of nonresonant scattering.