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2011-07-28T17:18:20Z 10000-01-01 1971 Sullivan, J.D. Potter, Wendy Nan Torrance 2011-07-28T17:18:20Z 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. Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-07-28T17:18:20Z No. of bitstreams: 1 1971_potter.pdf: 3338146 bytes, checksum: ba985bcdc14e339bfa8e70a64a03e5a2 (MD5) Made available in DSpace on 2011-07-28T17:18:20Z (GMT). No. of bitstreams: 1 1971_potter.pdf: 3338146 bytes, checksum: ba985bcdc14e339bfa8e70a64a03e5a2 (MD5) Previous issue date: 1971 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-07-28T17:18:20Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:33:11-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis Thesis U of I Only 5323570 http://hdl.handle.net/2142/25870 en 1971 Wendy Nan Torrence Potter vector meson dominance pion photoproduction kinematic singularity Vector meson dominance and pion photoproduction Dissertation / Thesis text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.