The Black Body Limit in Deep Inelastic Scattering
  We use information from DIS and the two gluon nucleon form factor to estimate the impact parameter amplitude of hadronic configurations in the dipole model of DIS. We demonstrate that only a small fraction of the total $\gamma^{\ast}N$ cross section at $x\sim 10^{-4}$ is due to scattering that occurs near the black body limit. We also make comparisons with other models and we point out that a quark mass of $\lesssim 100$ MeV leads to a strong variation of the the $t$-dependence with $Q^{2}$. 
T.C. Rogers, M.I. Strikman