Wave Functions and Mass Spectrum for a System of Two Relativistic Spinor Quarks Coupled by a Chromodynamical Interaction

Abstract

Exact solutions of relativistic quasipotential equations in the configuration representation werefound for a system of two spin-1/2 quarks interacting via a Coulomb-like chromodynamical potential.Quantization conditions were found for the pseudoscalar, pseudovector, and vector cases. The presentanalysis was performed within the Hamiltonian formulation of quantumfield theory via a transition to therelativistic configuration representation for the case of two relativistic spin-1/2 quarks of equal mass.