BFKL Pomeron calculus: solution to equations for nucleus-nucleus scattering in the saturation domain

TL;DR

This paper analytically and numerically solves the equations for nucleus-nucleus scattering within the BFKL Pomeron calculus in the saturation domain, providing estimates close to Glauber-Gribov results for high-energy cross sections.

Contribution

It offers the first analytical solutions to the nucleus-nucleus scattering equations in the saturation region within the BFKL Pomeron framework, enhancing understanding of high-energy nuclear interactions.

Findings

Analytical solutions obtained for high-energy scattering

Numerical solutions across the entire saturation region

Estimated cross sections closely match Glauber-Gribov results

Abstract

In this paper we solve the equation for nucleus-nucleus scattering in the BFKL Pomeron calculus, suggested by Braun. We find these solutions analytically at high energies as well as numerically in the entire region of energies inside the saturation region. The semi-classical approximation is used to select out the infinite set of the parasite solutions. The nucleus-nucleus cross sections at high energy are estimated and compared with the Glauber-Gribov approach. It turns out that the exact formula gives the estimates that are very close to the ones based on Glauber-Gribov formula which is important for the practical applications