Gluon emission in interaction of two reggeons

TL;DR

This paper constructs a gluon production vertex for interactions involving two reggeons, enabling calculations of nucleon pair collisions in AA scattering, and analyzes its properties and singularities.

Contribution

It introduces a new vertex for gluon production in two-reggeon interactions, with demonstrated transversality and analysis of zero-momentum poles.

Findings

Vertex is transversally constructed and well-behaved at large momenta.

Poles at zero longitudinal momenta persist in the amplitudes.

The vertex can be used for cross-section calculations in AA collisions.

Abstract

The vertex is constructed for gluon production in interaction of two reggeons coupled to projectiles and two reggeons coupled to targets. The vertex can be used to build cross-sections for collisions of two pairs of nucleons in AA scattering. Transversality of the constructed vertex is demonstrated as well as its good behaviour at large longitudinal momenta necessary for applications. Poles at zero values of longitudinal momenta are discussed and it is found that they remain in the amplitudes unlike in the case of a single projectile.