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 $pp$ scattering not only at the lower ISR energies but also at $\sqrt{s}=$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 $\sqrt{s}=$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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2014
- DOI:
- 10.48550/arXiv.1412.0813
- arXiv:
- arXiv:1412.0813
- Bibcode:
- 2014arXiv1412.0813N
- Keywords:
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- High Energy Physics - Phenomenology;
- Nuclear Theory
- E-Print:
- Talk by T. Csorgo presented at the WPCF 2014 conference, Gyongyos, Hungary, August 25-29 2014