Solution of the Odderon Problem

TL;DR

This paper derives the odderon intercept in high energy QCD by solving the spectrum of a three reggeon system, providing a precise value for the odderon intercept relevant for particle physics.

Contribution

It introduces a novel method to determine the odderon intercept by analyzing the spectrum of the second integral of motion in the three reggeon system, building on earlier Baxter equation solutions.

Findings

The odderon intercept is calculated as alpha_O(0)=1-0.2472 alpha_s N_c/pi.

The spectrum of the three reggeon system is explicitly determined.

The approach links integrable systems with high energy QCD phenomena.

Abstract

The intercept of the odderon trajectory is derived, by finding the spectrum of the second integral of motion of the three reggeon system in high energy QCD. When combined with earlier solution of the appropriate Baxter equation, this leads to the determination of the low lying states of that system. In particular, the energy of the lowest state gives the intercept of the odderon alpha_O(0)=1-0.2472 alpha_s N_c/pi.