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

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.

22 pages, 7 figures and 11 tables. We corrected some formulas and results of the fitting procedure. This work present intermediate steps and results that are not shown in the published version

References in corpus (2)

• Total cross-section and rapidity gap survival probability at the LHC through an eikonal with soft gluon resummation
• Phenomenological analysis connecting proton-proton and antiproton-proton elastic scattering