Phenomenological analysis connecting proton-proton and antiproton-proton elastic scattering

Abstract

Based on the behavior of the elastic scattering data, we introduce an almost model-independent parametrization for the imaginary part of the scattering amplitude, with the energy and momentum transfer dependences inferred on empirical basis and selected by rigorous theorems and bounds from axiomatic quantum field theory. The corresponding real part is analytically evaluated by means of dispersion relations, allowing connections between particle-particle and particle-antiparticle scattering. Simultaneous fits to proton-proton and antiproton-proton experimental data in the forward direction and also including data beyond the forward direction, lead to a predictive formalism in both energy and momentum transfer. We compare our extrapolations with predictions from some popular models and discuss the applicability of the results in the normalization of elastic rates that can be extracted from present and future accelerator experiments (Tevatron, RHIC and LHC).

arXiv comment17 pages, 17 figures, to appear in Eur. Phys. J. C

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• Energy dependence of slope parameter in elastic nucleon-nucleon scattering
• Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics: an Update
• Applicability of a Representation for the Martin's Real-Part Formula in Model-Independent Analyses
• The Tsallis entropy and the BKT-like phase transition in the impact parameter space for $pp$ and $\bar{p}p$ collisions
• Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Data in the Impact Parameter Space
• A simple model for high-energy nucleon-nucleon elastic diffraction and exclusive diffractive electroproduction of vector mesons on protons
• Optical Theorem, Crossing Property and Derivative Dispersion Relations: Implications on the Asymptotic Behavior of ${\sigma }_{tot}(s)$ and $\rho (s)$