An Interacting Parton Model for Quark and Anti-quark distributions in the Baryon

In this paper we study a 1+1 dimensional relativistic parton model for the structure of baryons. The quarks and anti-quarks interact through a linear potential. We obtain an analytic formula for the isospin averaged valence quark distribution in the chiral and large Nc limits. The leading 1/Nc and non-zero current quark mass corrections are estimated. Then we extend this model to include `sea' and anti-quarks. We find that the anti-quark content is small at a low value of Q^2. Using these distributions as initial conditions for Q^2 evolution, we compare with experimental measurements of the structure function xF_3(x,Q^2) and find reasonable agreement. The only parameters we can adjust are the fraction of baryon momentum carried by valence quarks and the initial scale Q_0^2.