  The Bloch-Nordsieck model for the parton distribution of hadrons in impact
parameter space, constructed using soft gluon summation, is investigated in
detail.
  Its dependence upon the infrared structure of the strong coupling constant
$\alpha_s$ is discussed, both for finite as well as singular, but integrable,
$\alpha_s$. The formalism is applied to the prediction of total proton-proton
and proton-antiproton cross-sections, where screening, due to soft gluon
emission from the initial valence quarks, becomes evident.
