The High Energy Behavior of the Forward Scattering Parameters \sigma total $\rho$, and $B$

Abstract

Utilizing the most recent experimental data, we reanalyze high energy \pbar p and pp data, using two distinct (and {\em dissimilar}) analysis techniques: (1) asymptotic amplitude analysis, under the assumption that we have reached `asymptopia', and (2) an eikonal model whose amplitudes are designed to mimic real QCD amplitudes. The former gives strong evidence for a $\log \,(s/s_0)$ dependence at {\em current} energies and {\em not} $\log^2 (s/s_0)$, and demonstrates that odderons are {\em not} necessary to explain the experimental data. The latter gives a unitary model for extrapolation into true `asymptopia' from current energies, allowing us to predict the values of the total cross section at future supercolliders. Using our QCD-model, we obtain $\stot(16\,\, {\rm TeV})=109\pm4$\,mb and $\stot(40\,\, {\rm TeV})=124\pm4$\,mb.