Local one-dimensional reggeon model of the interaction of pomerons and odderons

TL;DR

This paper introduces a one-dimensional reggeon model that describes local pomerons and odderons, extending the Gribov model, and analyzes their behavior through numerical solutions of evolution equations.

Contribution

It presents a novel one-dimensional reggeon theory including odderons and studies its dynamics numerically, which was not previously available.

Findings

Propagators and pA amplitude depend on rapidity.

Numerical integration of evolution equations reveals model behavior.

Includes only triple interaction vertices.

Abstract

We propose the one-dimensional reggeon theory describing local pomerons and odderons. It generalizes the well-known one-dimensional theory of pomerons (the Gribov model) and includes only triple interaction vertices. The proposed theory is studied by numerical methods: the one-particle pomeron and odderon propagators and the pA amplitude are found as functions of rapidity by integrating the evolution equation.