An empirical model for $pp$ scattering and geometrical scaling

Abstract

We present the result of an empirical model for elastic $pp$ scattering at LHC which indicates that the asymptotic black disk limit $\mathcal{R}=\text{sigel}/\text{sigtot}\to 1/2$ is not yet reached and discuss the implications on classical geometrical scaling behavior. We propose a geometrical scaling law for the position of the dip in elastic $pp$ scattering which allows to make predictions valid both for intermediate and asymptotic energies.

Comments: 7 pages, 6 figures. Based on talk given by G. Pancheri at LC13: Exploring QCD from the infrared regime to heavy flavour scales at B-factories, the LHC and a Linear Collider. To be published by Nuovo Cimento in Proceedings of LC13- Trento 16-20, September 2013