On production $e^+ e^-$-pairs by a high energy photon in collision with photons of a laser wave

Abstract

We calculate the number of $e^+ e^-$-pairs produced by a Compton high energy photon in turn formed in the process $e + n γ_0 -> e + γ$ at simultaneous collision with several photons $γ_0$ of the same laser beam $γ+ s γ_0 -> e^+ + e^-$. The case when polarization states of initial electron beam and laser photons are helicity is considered. It is shown that taking into account nonlinear effects in the Compton backscattering leads to decreasing the threshold of production of $e^+ e^-$-pairs and increasing their number. The consideration is based on the direct calculation of matrix elements in the formalism of diagonal spin basis.