Evolution of pomeron and odderon at all angular momemnta

TL;DR

This paper investigates the small-x evolution of pomerons and odderons in QCD across all angular momenta, revealing significant contributions from higher angular momentum states and providing a numerical solution to the coupled nonlinear evolution equations.

Contribution

It introduces a comprehensive momentum-space formulation and numerical solution for the all-angular-momentum evolution of pomerons and odderons, highlighting the importance of states with $l>1$.

Findings

States with $l>1$ significantly influence the evolution at large rapidities.

Numerical solutions show excellent convergence in angular momentum $l$.

Higher angular momentum states reduce the basic pomeron contribution at large rapidities.

Abstract

In the QCD the small~$x$ evolution of the interacting pomerons and odderons is studied with all angular momenta $l$ taken into account. The resulting system of coupled nonlinear evolution equations is formulated in the momentum space and solved numerically. Excellent convergence in $l$ is observed. Also it is found that states with $l>1$ play an important role and substantially reduce the basic pomeron state at large rapidities