Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Data in the Impact Parameter Space

Details Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Data in the Impact Parameter Space Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Data in the Impact Parameter Space

2010-05-10

arxiv.org/abs/1005.1577v1

International Journal of Modern Physics A, Vol. 25 n. 9, 1937 (2010)

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 16 figures

Scientific paper

10.1142/S0217751X10048354

We use an almost model-independent analytical parameterization for $pp$ and $\bar{p}p$ elastic scattering data to analyze the eikonal, profile, and inelastic overlap functions in the impact parameter space. Error propagation in the fit parameters allows estimations of uncertainty regions, improving the geometrical description of the hadron-hadron interaction. Several predictions are shown and, in particular, the prediction for $pp$ inelastic overlap function at $\sqrt{s}=14$ TeV shows the saturation of the Froissart-Martin bound at LHC energies.

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