Gluon Bremsstrahlung in Relativistic Heavy Ion Collisions

TL;DR

This paper investigates gluon radiation during relativistic heavy-ion collisions, deriving a formula for gluon multiplicity that transitions between different momentum regimes, enhancing understanding of particle production in such high-energy events.

Contribution

It provides a new interpolating formula for gluon multiplicity in heavy-ion collisions, bridging low and high transverse momentum behaviors at lowest order in QCD perturbation theory.

Findings

Derived a formula for gluon multiplicity with $1/k_{\bot}^2$ to $1/k_{\bot}^4$ behavior

Enhanced understanding of gluon radiation patterns in heavy-ion collisions

Applicable to fragmentation region analysis in relativistic collisions

Abstract

We study the process $qq\rightarrow qqg$ at lowest order in QCD perturbation theory to understand gluon radiation in the fragmentation region of relativistic heavy-ion collisions. We arrive at a formula for gluon multiplicity that interpolates between $\sim 1/k_{\bot}^2$ behavior at low $k_{\bot}$, to $\sim 1/k_{\bot}^4$ at large $k_{\bot}$.