Electron-positron Pair Production In Intense Laser Fields

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

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