Black disk, maximal Odderon and unitarity

TL;DR

This paper demonstrates that the maximal Odderon hypothesis conflicts with unitarity because it predicts a growth in large rapidity gap events that surpasses total cross section growth, contradicting established bounds.

Contribution

It shows that the maximal Odderon contribution violates unitarity by breaking the black disk limit in high-energy scattering amplitudes.

Findings

Maximal Odderon leads to faster growth of large rapidity gap events than total cross section.

The maximal Odderon hypothesis is incompatible with unitarity constraints.

The black disk limit is not maintained under maximal Odderon assumptions.

Abstract

We argue that the so-called maximal Odderon contribution breaks the `black disk' behaviour of the asymptotic amplitude, since the cross section of the events with Large Rapidity Gaps grows faster than the total cross section. That is the `maximal Odderon' is not consistent with the unitarity.