Systematics of some ultrarelativistic potential models

Abstract

The properties of two massless wave equations relevant to quark bound states are examined. We establish general conditions on the Lorentz-scalar and Lorentz-vector potentials which yield arbitrary leading Regge trajectories for the case of circular classical motion. A semiclassical approximation which includes radial motion reproduces remarkably well the exact solutions. The conditions for a mesonic tower structure are discussed.