Degree Type

Dissertation

Date of Award

1989

Degree Name

Doctor of Philosophy

Department

Physics and Astronomy

First Advisor

James P. Vary

Abstract

This work reports the study of techniques for solving the Bethe-Salpeter equation with a confinement kernel and reports the foundation of a program for constructing a relativistic model of the hadrons based upon the Bethe-Salpeter equation. The techniques described here represent a solution of the problem of constructing a relativistic model for the mesons. General methods are given for defining a confinement kernel in momentum space, of transforming the confinement kernel into an integrodifferential operator, and for solving the integral equations which result from applying these procedures to the Bethe-Salpeter equation;Momentum space eigenfunctions for charmonium are obtained and found to be large out to momentum values of order 1GeV/c. The expectation values of both a relativistic and non-relativistic velocity operator are found to be greater than 0.48c for all of the states of charmonium investigated. The Lorentz structure of the confinement kernel is determined by a fit to the heavy meson spectra where it is found that inclusion of coupling of positive and negative frequency states appears to rule out a linear confinement kernel which contains a significant vector or pseudoscalar portion.

DOI

https://doi.org/10.31274/rtd-180813-9035

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

John R. Spence

Language

en

Proquest ID

AAI9014959

File Format

application/pdf

File Size

44 pages

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