Light and Heavy Mesons, Glueballs and Analytic Confinement

Abstract

A simple relativistic quantum field model with the Yukawa‐type interaction is considered to investigate the two‐particle bound states under the analytic confinement. By introducing a minimal set of free parameters — the quark masses, the coupling constant and the confinement ‘radius’ — and by using the Bethe‐Salpeter equation with one‐gluon exchange, we satisfactorily explain the experimental evidence. The massive quarks and massless gluons form stable bound states at relatively weak couplings, the estimated masses of mesons and glueballs are in good agreement with experimental data, and the Regge trajectories of hadrons are asymptotically linear.