High-energy interaction with the nucleus in the perturbative QCD with $N_c\to\infty$

TL;DR

This work presents a numerical solution to the non-linear BFKL fan-diagram evolution for nucleus scattering in the Nc→∞ limit using a realistic nuclear density and eikonal initial condition. It reveals a soliton-like gluon density in the y–log q space and demonstrates how the nuclear structure function and inclusive jet production grow with rapidity, including a ln^2(1/x) growth at small x and Cronin-type enhancements. The analysis extends from single-jet to double-jet production in hA (and briefly AA) collisions, showing A-dependence that approaches eikonal expectations at high energies and uncovering long-range correlations that become significant at large Y. Overall, the results deepen understanding of saturation phenomena and jet production in high-energy nuclear collisions within perturbative QCD at large Nc.

Abstract

The BFKL fan diagram equation for the scattering on the nucleus is solved numerically with the eikonalized initial condition and for a realistic nuclear density. The gluon density has a soliton-like form in the $\log q - y$ space. Inclusive cross-sections for jet production in hA and AB collisions are calculated.