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# Phenomenological Analysis of $$pp$$ and $$\bar{p}p$$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics

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### Abstract

Considering the Froissart-Martin bound, Jin-Martin-Cornille bound and the optical theorem, we propose a novel parametrization for the total cross-section of proton-proton and antiproton-proton elastic scattering data. Using derivative dispersion relations we obtain the real part of the elastic scattering amplitude and thus the $$\rho$$ parameter. Simultaneous fits to $$\sigma_{tot}$$ and $$\rho$$ are performed allowing very good statistical descriptions of the available data. Furthermore, predictions to $$\sigma_{tot}$$ and $$\rho$$ at energies not used in the fit procedures are presented. For $$\sigma_{tot}$$ we obtain predictions at RHIC, LHC and future HC energies.

### Most cited references23

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### Author and article information

###### Journal
08 February 2010
2010-11-28
1002.1597
10.1142/S0217751X10050755