A Relativistic Quark Model for Baryons

Abstract

We present a relativistic quark model for baryons, based on the Bethe-Salpeter equation in instantaneous approximation. Confinement is implemented by an interaction kernel which essentially is a linearly rising potential with a spin-dependence chosen such as to minimize spin-orbit effects. The fine structure of the baryon spectrum follows from an effective quark-interaction based on instanton effects. Results for the spectra of all baryons build from u,d,s-quarks are presented. In particular it is found, that the present relativistic setup can account for the low position of Roper-like resonances in all sectors.