Excitation function of elastic pp scattering from a unitarily extended Bialas-Bzdak model

Nemes, Frigyes and Csörgő, Tamás and Csanád, Máté (2015) Excitation function of elastic pp scattering from a unitarily extended Bialas-Bzdak model. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 30 (14). ISSN 0217-751X

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Abstract

The Bialas-Bzdak model of elastic proton-proton scattering assumes a purely imaginary forward scattering amplitude, which consequently van- ishes at the diffractive minima. We extended the model to arbitrarily large real parts in a way that constraints from unitarity are satisfied. The re- sulting model is able to describe elastic pp scattering not only at the lower ISR energies but also at √s =7 TeV in a statistically acceptable manner, both in the diffractive cone and in the region of the first diffractive min- imum. The total cross-section as well as the differential cross-section of elastic proton-proton scattering is predicted for the future LHC energies of √s =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.

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