Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model
Abstract
The Bialas-Bzdak model of elastic proton-proton scattering assumes a purely imaginary forward scattering amplitude, which consequently vanishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The resulting model is able to describe elastic scattering not only at the lower ISR energies but also at 7 TeV in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive minimum. The total cross-section as well as the differential cross-section of elastic proton-proton scattering is predicted for the future LHC energies of 8, 13, 14, 15 TeV and also to 28 TeV. A non-trivial, significantly non-exponential feature of the differential cross-section of elastic proton-proton scattering is analyzed and the excitation function of the non-exponential behavior is predicted. The excitation function of the shadow profiles is discussed and related to saturation at small impact parameters.
Keywords
Cite
@article{arxiv.1412.0813,
title = {Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model},
author = {F. Nemes and T. Csörgő and M. Csanád},
journal= {arXiv preprint arXiv:1412.0813},
year = {2015}
}
Comments
Talk by T. Csorgo presented at the WPCF 2014 conference, Gyongyos, Hungary, August 25-29 2014