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 1Nc and non-zero current quark mass corrections are estimated. Then we extend this model to include `seaʹ and anti-quarks. We find that the anti-quark content is small at a low value of Q2. Using these distributions as initial conditions for Q2 evolution, we compare with experimental measurements of the structure function xF3(x,Q2) and find reasonable agreement. The only parameters we can adjust are the fraction of baryon momentum carried by valence quarks and the initial scale Q02.