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