Regular Article - Theoretical Physics
The Phillips–Barger model for the elastic cross section and the Odderon
High and Medium Energy Group, Instituto de Física e Matemática, Universidade Federal de Pelotas, Caixa Postal 354, Pelotas, RS, CEP 96010-900, Brazil
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Accepted: 11 March 2019
Published online: 15 March 2019
Inspired by the recent TOTEM data for the elastic proton–proton (pp) scattering at 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 GeV and 1.8 TeV, which are compared with the existing antiproton–proton () data. We show that the PB predictions, constrained by the pp data, are not able to describe the data. In particular, the PB model predicts a dip in the differential cross section that is not present in the data. Such result suggests the contribution of the Odderon exchange at high energies.
© The Author(s), 2019