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 $\text{stot}(16\mathrm{TeV})=109\pm 4$\,mb and $\text{stot}(40\mathrm{TeV})=124\pm 4$\,mb.

Comments: 14 pages in latex, 8 figures included as a uuencoded file (NUHEP preprint 389)