New systematics in hadron total cross section

Abstract

Analysis of total cross section data from 2 to 200 GeV/c shows striking regularities in the discrepancies between the experimental data and predictions based on two-component duality with exact exchange degeneracy, universality, and SU(3) symmetry. These regularities suggest that the discrepancies are not due to a number of unrelated breaking effects, but are all related and described by a single universal third component which has even-signature isoscalar exchange in the $t$ channel, has exactly the same energy dependence for kaon-nucleon, pion-nucleon, and nucleon-nucleon scattering processes, and scales in the ratio $1:2:\frac{9}{2}$. This new component suggests a common origin for the strangeness dependence of the total cross sections and the deviations from quark-model additivity, and gives a unified description of the following apparently unrelated effects: (1) The $\ensuremath{\sigma}(\ensuremath{\pi}N)\ensuremath{-}\ensuremath{\sigma}(\mathrm{KN})$ difference, (2) the deviation of $\frac{\ensuremath{\sigma}(\ensuremath{\pi}N)}{\ensuremath{\sigma}(NN)}$ from $\frac{2}{3}$, (3) differences in energy behavior of cross sections, particularly the decrease in $\ensuremath{\sigma}(pp)$ at low energies, and (4) the differences among $\ensuremath{\sigma}({K}^{+}p)$, $\ensuremath{\sigma}(pp)$, and $\ensuremath{\sigma}(\ensuremath{\varphi}p)$, which are all pure Pomeron in two-component duality.