Elastic amplitudes studied with the LHC measurements at 7 and 8 TeV

Abstract

Recent measurements of the differential cross sections in the forward region of pp elastic scattering at 7 and 8 TeV show precise form of the $t$ dependence. We propose a detailed analysis of these measurements including the structures of the real and imaginary parts of the scattering amplitude. A good description is achieved, confirming in all experiments the existence of a zero in the real part in the forward region close to the origin, in agreement with the prediction of a theorem by A. Martin, with important role in the observed form of $d\sigma /dt$. Universal value for the position of this zero and regularity in other features of the amplitudes are found, leading to quantitative predictions for the forward elastic scattering at 13 TeV.

arXiv comment22 pages, 17 figures and 4 tables

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Cited by in corpus (10)

• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• Analysis and implications of precision near-forward TOTEM data
• Natural Supersymmetry: Status and Prospects
• The interplay of hadronic amplitudes and Coulomb phase in LHC measurements at 13 $\mathrm{TeV}$
• Anomaly in the differential cross sections at 13 TeV
• Structure of Forward pp and pp Elastic Amplitudes at Low Energies
• Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV
• Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV
• Some applications of the Eikonal model with Coulomb and curvature corrections in $pp$ and $\bar{p}p$ scattering
• Description of pp forward elastic scattering at 7 and 8 TeV