Note on the Impact Parameter Analysis of High Energy Proton Proton Collisions

Abstract

Following prior analysis for measured pp elastic differential cross section, the impact parameter representation in terms of profile functions is calculated from two different parameterizations on single diffractive dissociation data. The derivative of this quantity with respect to the collision energy squared s measures the growth rate of the reaction's blackness. Its distribution in impact parameter space allows detailed insight into the growth pattern of the total cross section and the approaching unitarity limit. Comparing the results with the elastic case, the different mechanisms of unitarization of the two parametrizations are discussed.