The Anti-quark Distribution Function of the Baryon

Abstract

We derive the Deep Inelastic anti-quark distribution in a baryon at a low value of Q^2 using the variational principle of Quantum HadronDynamics, an alternative formulation of Quantum ChromoDynamics. It is determined by a variational approach generalizing the ``valence'' quark approximation of earlier papers. We find that the ``primordial'' anti-quarks carry less than a percent of the baryon momentum. In the limit of chiral symmetry and N_c to infinity, we show that the anti-quark content of the proton vanishes at low Q^2