Do we understand elastic scattering up to LHC energies?
Jacques Soffer

TL;DR
This paper reviews high-energy elastic scattering measurements from past colliders and discusses how LHC data can enhance understanding of scattering amplitudes, total cross sections, and theoretical models at asymptotic energies.
Contribution
It evaluates the progress in understanding elastic scattering up to LHC energies and assesses the validity of theoretical approaches with new experimental data.
Findings
LHC data provides new insights into elastic scattering at unprecedented energies.
Current models are tested against recent measurements to verify their predictions.
The asymptotic behavior of scattering amplitudes is better constrained with recent data.
Abstract
The measurements of high energy \bar p p and pp elastic at ISR, SPS and Tevatron colliders have provided usefull informations on the behavior of the scattering amplitude. A large step in energy domain is accomplished with the LHC collider presently running, giving a unique opportunity to improve our knowledge on the asymptotic regime of the elastic scattering amplitude and to verify the validity of our theoretical approach, to describe the total cross section \sigma_{tot}(s), the total elastic cross section \sigma_{el}(s), the ratio of the real to imaginary parts of the forward amplitude \rho(s) and the differential cross section d\sigma (s,t)/dt.
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