Abstract
Inspired by the recent TOTEM data for the elastic proton–proton (pp) scattering at sqrt{s} = 8 and 13 TeV, we update previous studies of the differential cross sections using the Phillips–Barger (PB) model, which parametrizes the amplitude in terms of a small number of free parameters. We demonstrate that this model is able to describe the recent pp data on a statistically acceptable way. Additionally, we perform separate fits of the pp data for each center-of-mass energy and propose a parametrization for the energy dependence of the parameters present in the PB model. As a consequence, we are able to present the PB predictions for the elastic proton–proton cross section at sqrt{s} = 546 GeV and 1.8 TeV, which are compared with the existing antiproton–proton ({bar{p}}p) data. We show that the PB predictions, constrained by the pp data, are not able to describe the {bar{p}}p data. In particular, the PB model predicts a dip in the differential cross section that is not present in the {bar{p}}p data. Such result suggests the contribution of the Odderon exchange at high energies.
Highlights
(σtot) are compatible with the measurements [12]
The existence of an Odderon is a natural prediction of the Quantum Chromodynamics (QCD), has a C-odd parity and determines the hadronic cross section difference between the direct and crossed channel processes at very high energies
As the elastic process is dominated by non-perturbative physics, such process have been described using phenomenological models based on different assumptions
Summary
(σtot) are compatible with the measurements [12]. Such result has motivated an intense debate about the possible contribution of the Odderon [13,14,15,16,17,18,19,20]. A dip is expected to be present in pp and absent in pp collisions, which is directly associated to the fact that the Odderon contribution, being a C-odd term in the elastic scattering amplitude, enters with an opposite sign in each case, resulting in a different t-behaviour for dσ/dt. Comparison between the predictions for the differential cross section for pp collisions at and the experimental pp data.
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