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arXiv · 1412.0813

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

F. Nemes·T. Csörgő·M. Csanád
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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.

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F. Nemes, T. Csörgő, M. Csanád. 2014-12-02. Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model. https://doi.org/10.1142/s0217751x15500761

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