Regge pole and K-matrix models for two particle reactions

A generalized expression far Reggeized helicity amplitudes is presented. It is found that the kinematic t-singularities of the amplitudes associated with a Regge trajectory for a given reaction are described by a single function whose origin can be easily understood in terms of angular momentum coupling rules. A discussion is given concerning the constraints imposed on the Regge residue functions from the demand that certain physical quantities, such as the cross section, be free of kinematical singularities. Particular consideration is given to the t-channel reaction NN - PV, Solutions for the residue functions are obtained for this reaction for all trajectories with natural parity and for all trajectories with unnatural parity whose G-parity restricts the NN channel spin to be zero. Using these solutions, cross sections and decay correlations for the vector meson are calculated for a comparison to experiment, The K+p reactions near 1 BeV/c are studied using the Kmatrix formalism. It is found that the general features of the experimental data, including the I = 1 peak in the total cross section are reproduced without the assumption of a KN resonance. It is found the agreement with experiment is best for the KN* channel which appears to be responsible for the peak in the total cross section.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Physics

Year dc:date

2011

Author dc:creator

• Hite, Gerald Eugene

Contributors dc:contributor

• Jackson, J.D.

• Regge pole model
• K-matrix model
• two particle reactions
• Reggeized helicity amplitudes

Statement dc:rights

• 1967 Gerald Eugene Hite

Language dc:language

en

Identifier

6087567

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/25720