Odderon with a running coupling constant

TL;DR

This paper demonstrates that the odderon state with a maximal intercept persists even when a running coupling constant is incorporated, maintaining an intercept of unity regardless of low-momentum behavior.

Contribution

It introduces the running coupling into the odderon equation via the bootstrap relation and shows the persistence of the maximal intercept odderon state.

Findings

The odderon state with maximal intercept exists with running coupling.

The intercept remains equal to one regardless of low-momentum behavior.

The state is constructed from the antisymmetric pomeron wave function.

Abstract

The running coupling is introduced into the equation for the odderon via the bootstrap relation. It is shown that the previously found odderon state with a maximal intercept, which is constructed from antisymmetric pomeron wave function, continues to exist in the running coupling case. Its intercept is found to remain equal to unity independent of the behaviour assumed for the running coupling at low momenta.