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Soft Photon Theorems in Bremsstrahlung and Photoproduction of Pions

<p> In the soft photon limit the bremsstrahlung cross-section is related to the corresponding elastic scattering cross-section in a model-independent manner. The cross-section for threshold photoproduction of pions becomes independent of the detailed pion-nucleon interaction if the ratio of pion to nucleon mass is made sufficiently small. These two results are a consequence of the gauge invariance of the scattering amplitude for a process involving one photon. We review the derivation of Low's bremsstrahlung theorem for spin-zero and spin-half particles, and outline an extension to all orders of photon energy. The theorem for photopion production is derived by the same method. A non-relativistic analogue to the Bremsstrahlung theorem is also considered.</p> / Thesis / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/17950
Date09 1900
CreatorsHolland, Peter John
ContributorsNogami, Y., Physics
Source SetsMcMaster University
Languageen_US
Detected LanguageEnglish
TypeThesis

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