Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy

Details Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy

2010-11-08

arxiv.org/abs/1011.1756v2

Eur.Phys.J.C71:1601,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 6 figures, to appear in EPJC

Scientific paper

10.1140/epjc/s10052-011-1601-x

In the analysis of experimental data on $p p$ (or $\bar p p$) elastic differential cross section it is customary to define an average forward slope $b$ in the form $\exp{(-b|t|)}$, where $t$ is the momentum transfer. Taking as working example the results of experiments at Tevatron and SPS, we will show with the help of the impact picture approach, that this simplifying assumption hides interesting information on the complex non-flip scattering amplitude, and that the slope $b$ is not a constant. We investigate the variation of this slope parameter, including a model-independent way to extract this information from an accurate measurement of the elastic differential cross section. An extension of our results to the LHC energy domain is presented in view of future experiments.

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