Relativistic Naive Quark Model for Spinning Quarks in Mesons

Abstract

We use two-body Dirac equations (derived from Dirac's constraint mechanics and super-symmetry) to make the naive quark model fully relativistic. Our covariant equations incorporate not only relativistic kinematics but also dynamical recoil effects that generalize Breit corrections to forms that have well-defined quantum short-distance behavior. In these equations, a crude but covariant generalization of Richardson's static quark potential produces a surprisingly good one-parameter relativistic fit to the meson spectrum.