Abstract
The one-photon annihilation of an electron-positron pair in the pulsed light field is investigated theoretically. The pulsed laser field is described by the plane circularly polarized electromagnetic wave with the envelope function. The analytical expressions for an amplitude and probability of the studied process are derived. The conditions for an observation of the one-photon annihilation the pulsed light field are ascertained. It is demonstrated, that the region of numerical values of the initial particles parameters within which the one-photon annihilation in the pulsed light field may be possibly realized is significantly broader in comparison with the monochromatic wave case. Within the observation domain the probability of one-photon annihilation process in the pulsed light field essentially exceeds the correspondent one the external field absence, except the points with the strong suppression of the probability which is the result of an interference of the amplitude’s parts; the last ones correspond to the contributions of the front and posterior segments of the pulse.
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