Resonance scattering of a lepton by a lepton in the field of two codirectional pulsed laser waves within the interference kinematical region is theoretically studied. Stimulated emission and absorption of waves' photons by lepton is correlated in the interference region. Resonance conditions in the interference region are specified. Analytical expressions for amplitude and differential cross section for circular polarization are obtained. The cross section contains a resonant peak, its altitude and width are determined by external waves parameters. Considerable effect of wave polarization on scattering of a lepton by a lepton is specified. The obtained results can be verified at the facility FAIR (Darmstadt, Germany).
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