Behavior of very high energy hadronic cross-sections

Analysis of the data for proton and antiproton scattering leads to a simple picture for very high energy hadronic cross-sections. There is, asymptotically, a simple “black disc” with a smooth “edge”. The radius of the “disc” is expanding logarithmically with energy, while the “edge” is constant. These conclusions follow from extensive fits to accelerator and cosmic ray data, combined with the observation that a certain combination of elastic and total cross-sections allows extraction of the “edge”. An interesting feature of the results is that the “edge” is rather large compared to the “disc”. This explains the slow approach to “asymptopia” where the “disc” finally dominates.