https://doi.org/10.1140/epjc/s10052-019-6768-6
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
* e-mail: barros@ufpel.edu.br
Received:
24
December
2018
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
