# The Phillips–Barger model for the elastic cross section and the Odderon

The European Physical Journal C, Mar 2019

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.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-019-6768-6.pdf

V. P. Gonçalves, P. V. R. G. Silva. The Phillips–Barger model for the elastic cross section and the Odderon, The European Physical Journal C, 2019, 237, DOI: 10.1140/epjc/s10052-019-6768-6