Quantum electrodynamic model for production amplitudes at infinite momentum
Pardee, William Joseph
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https://hdl.handle.net/2142/25869
Description
Title
Quantum electrodynamic model for production amplitudes at infinite momentum
Author(s)
Pardee, William Joseph
Issue Date
1971
Doctoral Committee Chair(s)
Wright, J.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
quantum electrodynamic model
production amplitudes
infinite momentum
Language
en
Abstract
"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."
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