Electron-Positron Pair Production in Intense Laser Fields

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Date

2007-03

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Addis Ababa University

Abstract

The electron-positron pair production cross section through collision of a highenergy photon by an intense LASER beam is calculated. We employ exact wave functions of electron and positron obtained as exact (nonperturbative) solutions of Dirac equation in the eld of a travelling electromagnetic plane wave A (x) regarded as the wave function of a LASER photon. The exact wave functions of electron and positron are obtained by using Light-Cone Field Theory which is reviewed exhaustively. It is presumed that higher order corrections like the vertex correction, electron self-energy, and vacuum polarization to the process are automatically included, since we are using the exact wave functions as explained above. It is shown that the calculation of the cross section reduces to the Breit-Wheeler formula in the limit of weak eld strength and in the limit of small number of LASER photons. The general result of the study can be applied to examine the validity of exact Dirac solutions obtained by use of Light-Cone Field Theory which is a standard language in High-Energy Physics

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Keywords

Electron-Positron Pair Production

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