Abstract

We study the scaling properties of the differential cross section of elastic proton–proton (pp) and proton–antiproton (pbar{p}) collisions at high energies. We introduce a new scaling function, that scales – within the experimental errors – all the ISR data on elastic pp scattering from sqrt{s} = 23.5–62.5 GeV to the same universal curve. We explore the scaling properties of the differential cross-sections of the elastic pp and pbar{p} collisions in a limited TeV energy range. Rescaling the TOTEM pp data from sqrt{s} = 7 TeV to 2.76 and 1.96 TeV, and comparing it to D0 pbar{p} data at 1.96 TeV, our results provide an evidence for a t-channel Odderon exchange at TeV energies, with a significance of at least 6.26sigma . We complete this work with a model-dependent evaluation of the domain of validity of the new scaling and its violations. We find that the H(x) scaling is valid, model dependently, within 200~hbox {GeV}le sqrt{s} le 8 TeV, with a -t range gradually narrowing with decreasing colliding energies.

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