A relativistic quark model
Abstract
Color singlet bound states of quarkantiquark systems, which incorporate transverse gluon degrees of freedom, are studied by means of a variational principle within the framework of relativistic quantum field theory. An effective Hamiltonian for quarkantiquark systems which incorporates the effects of a Coulomb plus linear potential and gluon exchange is constructed. Momentumspace integral eigenvalue equations for the bound states are obtained by using a variational principle. The equations are decoupled within an approximation and then solved numerically. Both the variational and basis state expansion methods are used to solve the equations. The method is applied to the charmonium and bottomonium systems. A good fit to the experimental data is obtained.
 Publication:

Ph.D. Thesis
 Pub Date:
 September 1990
 Bibcode:
 1990PhDT........12Z
 Keywords:

 Quantum Chromodynamics;
 Quark Models;
 Quarks;
 Relativity;
 Variational Principles;
 Charm (Particle Physics);
 Coulomb Potential;
 Eigenvalues;
 Gluons;
 Hamiltonian Functions;
 Atomic and Molecular Physics