Studies on Electron-Proton Bremsstrahlung and Rare Pion Decays
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Date
2001-06
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Addis Ababa University
Abstract
In this thesis the frame work of Covariant Perturbation Theory is adopted to calculate
the transition probability and the differential cross section of one of the
fundamental proCesSE'B in Quantum electrodynamics, namely, the Bremsstrahlung
from electron due to the interaction with the electromag11etic field of moving proton
(i.e. e + p ---7 e + p + ,). The matrix element Mfi and the corresponding
traces of ,-matrices which are specific to the process have been evaluated explicitly.
It is noticed that the bremsstrahlung' cross section due to a moving proton
is exactly identical to the corresponding result for bremsstrahlung cross section
due to stationary nucleus, when the target proton is taken to be infinitely massive
compared to the incident electron. Furthermore, the theory is applied to calculate
the transition amplitude, the decay rate f' and the lifetime of pion decaying to
the electron-positron pair (i.e. "lr0
---7 c+e-). Comparison of the result obtained
with the experimental values of f' enabled us to determine the magnitude of the
dimensionless coupling const,ant responsible for the decay, 9
4
' = 2.35 X 10-15 • Be-
IT
sides the result predicts that the decay "lr0
---7 e+ e-- proceeds through higher order
electromagnetic interactions
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Studies on Electron-Proton