Fine structure of meson spectrum and Lorenz nature of quark-antiquark potential from Dirac equation

Abstract

The numerical solution of relativistic Dirac equation for mesons with both equal and unequal quark masses is carried out. The obtained results both for mass spectrum and for fine splitting are in quite reasonable agreement with experiment. We also investigate the Lorentz structure of the potential and obtain that most of the confinement part of the potential must be in the vector part of the interaction potential.