Quantum electrodynamic model for production amplitudes at infinite momentum

The scattering amplitude for the production of an arbitrary number of electron" positron pairs in electron-electron collisions is calculated in a infinite momentum field theory model. More precisely, the model considers only events where" the center of momentum energy is, much larger, than typical subenergies between pairs which are adjacent in longitudinal momentum. The subenergies are assumed much larger than masses and momentum transfers. The calculation is restricted to multiperipheral diagrams. In an approximation that neglects electron and, photon masses, it is possible to obtain a simple form for the sum of all the partial cross sections generated by these diagrams. The number distribution P(n), the average number of pairs produced, the,two particle and one particle momentum distributions and the total cross section are obtainec1,. The two particle distribution is expressed in terms of the invariant, mass, total longitudinal momentum, and transverse momenta of the pair. The contribution of these processes to the absorptive part of the elastic amplitude, is studied for small t.U of I OnlyThesi