BFKL Pomeron calculus: nucleus-nucleus scattering

TL;DR

This paper reformulates the BFKL Pomeron calculus in momentum space, derives equations for nucleus-nucleus collisions, and analyzes their solutions both outside and inside the saturation domain.

Contribution

It introduces a momentum-space formulation of the BFKL Pomeron calculus and derives novel equations and solutions for nucleus-nucleus scattering.

Findings

Semi-classical solutions outside the saturation domain

Reduction to delay differential equations inside the saturation domain

Asymptotic solutions for the delay differential equations

Abstract

In this paper the action of the BFKL Pomeron calculus is re-written in momentum representation, and the equations of motion for nucleus-nucleus collisions are derived, in this representation. We found the semi-classical solutions to these equations, outside of the saturation domain. Inside this domain these equations reduce to the set of delay differential equations, and their asymptotic solutions are derived.