Hadronic Cross sections: from cyclotrons to colliders to cosmic rays

Abstract

We present evidence for the saturation of the Froissart bound at high energy for {\em all hadronic} total cross sections at high energies, and use this to unify $pp$ (and $\bar p p$) total cross sections over the energy range from cyclotrons to colliders to ultra-high energy cosmic rays, an energy span from $\sqrt s = 4$ GeV to 80 TeV.