Resonant Interference Effect in Scattering of an Electron by an Electron in the Field of Two Pulsed Laser Waves

Resonant scattering of an electron by an electron in the field of two unidirectional pulsed laser waves is studied theoretically. The interference kinematical region is considered. Stimulated emission and absorption of external waves’ photons by electrons is correlated in the interference region. Resonance condition in the interference region is specified. Analytical expressions for the amplitude and differential cross section of the process for waves’ circular polarization are obtained in the first order of the perturbation theory. The cross section contains resonant peaks, their altitude and width are determined by external waves parameters. Considerable effect of wave polarization on the character of stimulated emission and absorption of external waves’ photons is found. It is demonstrated that the differential interference cross section of scattering of nonrelativistic electrons by each other in the field of two pulsed light waves of the optical frequency is approximately ten times greater in the magnitude than the corresponding one in the external field absence. Obtained results can be verified experimentally, for example, at the SLAC National Accelerator Laboratory (Stanford, USA) or in the frame of the FAIR Project (Darmstadt, Germany).