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

• Main Authors: V. P. Gonçalves, P. V. R. G. Silva
• Format: Article
• Language: English
• Published: SpringerOpen 2019-03-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-019-6768-6
• ISSN: 1434-6044; 1434-6052

Abstract Inspired by the recent TOTEM data for the elastic proton–proton (pp) scattering at $$\sqrt{s} =$$ 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 $$\sqrt{s} = 546$$ s=546 GeV and 1.8 TeV, which are compared with the existing antiproton–proton ($${\bar{p}}p$$ p¯p ) data. We show that the PB predictions, constrained by the pp data, are not able to describe the $${\bar{p}}p$$ p¯p data. In particular, the PB model predicts a dip in the differential cross section that is not present in the $${\bar{p}}p$$ p¯p data. Such result suggests the contribution of the Odderon exchange at high energies.