Studies On Electron-proton Bremsstrahlung And Rare Pion Decays

In this thesis the frame work of Covariant Perturbation Theory is adopted to calculaternthe transition probability and the differential cross section of one of thernfundamental proCesSE'B in Quantum electrodynamics, namely, the Bremsstrahlungrnfrom electron due to the interaction with the electromag11etic field of moving protonrn(i.e. e + p ---7 e + p + ,). The matrix element Mfi and the correspondingrntraces of ,-matrices which are specific to the process have been evaluated explicitly.rnIt is noticed that the bremsstrahlung' cross section due to a moving protonrnis exactly identical to the corresponding result for bremsstrahlung cross sectionrndue to stationary nucleus, when the target proton is taken to be infinitely massiverncompared to the incident electron. Furthermore, the theory is applied to calculaternthe transition amplitude, the decay rate f' and the lifetime of pion decaying tornthe electron-positron pair (i.e. "lr0rn---7 c+e-). Comparison of the result obtainedrnwith the experimental values of f' enabled us to determine the magnitude of therndimensionless coupling const,ant responsible for the decay, 9rn4rn' = 2.35 X 10-15 • Be-rnITrnsides the result predicts that the decay "lr0rn---7 e+ e-- proceeds through higher orderrnelectromagnetic interactions

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