Extracting the Odderon from $pp$ and $\bar pp$ scattering data

TL;DR

This paper develops a simple empirical model to analyze elastic proton-proton and antiproton-proton scattering data across a wide energy range, successfully extracting the elusive Odderon contribution by comparing differences in cross sections.

Contribution

It introduces a toy model that interpolates between energy gaps to isolate the Odderon contribution from scattering data, a novel approach in this context.

Findings

Successfully describes the dip-bump structure in elastic scattering

Extracts the Odderon contribution and its ratio to the Pomeron

Fits data from 23.5 GeV to 7 TeV

Abstract

Starting from a simple empirical parametrization of the scattering amplitude, successfully describing the dip-bump structure of elastic $pp$ scattering in $t$ at fixed values of $s$, we construct a toy model interpolating between missing energy gaps to extract the Odderon contribution from the difference between $\bar pp$ and $pp$ elastic and total cross sections. The model is fitted to data from $\sqrt s=23.5$ GeV to 7 TeV and used to extract the Odderon and its ratio to the Pomeron.