Forward pomeron propagator in the external field of the nucleus

TL;DR

This paper demonstrates through numerical analysis that the forward pomeron propagator in a nuclear external field diminishes at high rapidities, suggesting potential for perturbative calculations of pomeron loops.

Contribution

It introduces a numerical approach showing the vanishing of the forward pomeron propagator in nuclear matter at high rapidities, enabling perturbative methods for pomeron loop calculations.

Findings

The propagator vanishes at high rapidities in the nuclear external field.

Numerical methods confirm the behavior of the propagator.

Potential for perturbative calculations of pomeron loops.

Abstract

It is shown by numerical calculations that the convoluted forward pomeron propagator in the external field created by a solution of the Balitski-Kovchegov equation in the nuclear matter vanishes at high rapidities. This may open a possibility to apply the perturbative approach for the calculation of pomeron loops.