Nucleus-nucleus cross-sections and long-range correlations with a local supercritical pomeron

TL;DR

This paper investigates nucleus-nucleus scattering using a local Reggeon Field Theory with new boundary conditions, revealing lower cross-sections and altered low-energy behavior, and computes long-range correlations relevant for RHIC and LHC energies.

Contribution

It introduces non-eikonal boundary conditions in Reggeon Field Theory for nucleus-nucleus scattering, showing their impact on cross-sections and solution behavior at low energies.

Findings

Lower total cross-sections by 3-5% with new boundary conditions.

Significant changes in equations of motion at low energies.

Calculated long-range rapidity correlations for RHIC and LHC.

Abstract

Nucleus-nucleus scattering is studied in the local Reggeon Field Theory in the quasi-classical approximation with non-eikonal boundary conditions corresponding to the Glauber picture at low energies. Comparison with the commonly used eikonal boundary conditions shows that the new conditions make both the action and nucleus-nucleus total cross-sections lower by $3\div 5$ %. They also substantially change the behaviour of the solutions of the equations of motion at low energies. Using expressions for the double inclusive cross-sections derived earlier in the Reggeon Field Theory \cite{CM} long-range rapidity correlations are calculated for the RHIC and LHC energies.