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

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.

6 pages, 4 tables, 2 figures, results updated, matches published version

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• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• Toward the existence of odderon as a three-gluon bound state
• Two- and three-gluon glueballs of $C=+$
• Observation of Odderon Effects at LHC energies -- A Real Extended Bialas-Bzdak Model Study
• A model of diffractive excitation in $pp$ collisions at high energies
• Eikonal model analysis of elastic proton-proton collisions at 52.8 GeV and 8 TeV
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Analytical representation for amplitudes and differential cross section of pp elastic scattering at 13 TeV
• Two diffraction cones of elastic scattering and structural symmetry conjecture
• pp elastic scattering at ISR and LHC energies
• Model-independent Odderon results based on new TOTEM data on elastic pp collisions at 8 TeV
• Convergence properties of Lévy expansions: implications for Odderon and proton structure
• Understanding two slopes in the pp (p\bar p) differential cross sections
• Soft Pomeron in light of the LHC correlated data
• Searching for the Odderon in the diffractive $f_2(1270)$ photoproduction at $pA$ collisions
• Energy dependence of proton-proton elastic scattering at large momentum transfer