Hard scattering cross sections at LHC in the Glauber approach: from pp to pA and AA collisions

TL;DR

This paper reviews how hard scattering cross sections scale from proton-proton to proton-nucleus and nucleus-nucleus collisions at LHC energies using the Glauber model, providing geometric and collision data for different centralities.

Contribution

It applies the Glauber formalism to analyze scaling rules and provides detailed collision data for various centrality classes at LHC energies.

Findings

Scaling rules for invariant yields and cross sections are established.

Number of binary inelastic collisions is quantified for different centralities.

Provides Glauber Monte Carlo results for p+Pb and Pb+Pb collisions.

Abstract

The scaling rules of the invariant yields and cross sections for hard scattering processes in proton-nucleus ($pA$) and nucleus-nucleus ($AB$) reactions at LHC energies relative to those of nucleon-nucleon $NN$ (isospin averaged $pp$) collisions are reviewed within the Glauber geometrical formalism. The number of binary inelastic collisions for different centrality classes in p+Pb and Pb+Pb collisions at $\sqrt{s_{NN}}$ = 8.8 TeV and 5.5 TeV respectively, as obtained from a Glauber Monte Carlo, are also given.