Vector meson dominance and pion photoproduction

A detailed theoretical treatment is given of the vector mesondominance approximation of a k2 dispersion relation for any of a large number of sets of invariant amplitudes for pion photoproduction. The resulting cross section always has a kinematic singularity; whether or not it is in the physical region depends on which set is used. The· standard proportionality between polarized photon and vector meson· cross sections in the center of mass is recovered at high s for some of the sets discussed. Support for vector meson pole dominance of a R2 dispersion relation at high s is found from the investigation of the analyticity of the box graph as a function of the mass-squared of one of the external particles. A question is raised concerning the renormalization of divergent diagrams containing a single vector meson virtual state in the familiar Lagrangian treatment of vector meson dominance.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Potter, Wendy Nan Torrance

Contributors dc:contributor

• Sullivan, J.D.

• vector meson dominance
• pion photoproduction
• kinematic singularity

Statement dc:rights

• 1971 Wendy Nan Torrence Potter

Language dc:language

en

Identifier

5323570

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/25870