Laser-modified Compton scattering in the middle-intensity pulsed field

The scattering of photon by electron in the presence of the field of the middle-intensity circularly-polarized pulsed laser wave is analyzed at a laser pulse duration that is significantly greater than the characteristic oscillation time. The probability of such process is calculated for a range of external field intensities I ~ 10¹⁷ Wcm^-2. It is demonstrated that the resonance probability of laser-modified process can be significantly greater than the probability of the Compton effect in the absence of the external field. In the range of the optical frequencies for nonrelativistic energies this excess relates amounts to four orders-of-magnitude.