RELATIVISTIC DESCRIPTION OF PION COMPTON SCATTERING IN THE FRAMEWORK OF SCALAR QUANTUM ELECTRODYNAMICS

Abstract

In this thesis pion Compton scattering was studied in the frame of scalar quantum electrodynamics. Scattering matrices for electron Compton scattering was derived using Feynman rules of quantum Electrodynamics. Then this theory was generalized to study the relativistic interaction of scalar particles such as pion with electromagnetic field. We evaluated the scattering cross-section for electron Compton scattering and pion Compton scattering processes. In the classical limit, comparison was made between Pion Compton scattering and Electron Compton scattering total cross-sections. The result shows that for low incident energy the Pion Compton scattering cross-section is reduced by a factor of 270−2 from that of Electron Compton scattering; and greater than Thomson cross section by a factor of 1.5. In addition, the results indicate that for very long wavelength (low incident energy) the interaction takes only through the total charge of the target from which the photon is scattered.