Padusenko O. One-photon annihilation and scattering of a lepton by a lepton in pulsed light field

The process of one-photon annihilation of an electron-positron pair in the pulsed light field was investigated theoretically. The probability of the considered process essentially exceeds the one in the external field absence within the observation domain. The process of nonresonant scattering of an electron by a muon in the pulsed light field was studied theoretically. The probability of wave photons stimulated emission (absorption) by an electron and a muon in the pulsed field is determined as the averaged value of corresponding probabilities for the monochromatic field. Resonant effects in the process of scattering of a lepton by a lepton in the pulsed light field were analyzed. The resonant differential cross-section is several orders of magnitude greater then the corresponding one in the external field absence within the wide range of leptons energies.