Pseudorapidity and initial energy densities in p+p and heavy ion collisions at RHIC and LHC

TL;DR

This paper applies an exact relativistic hydrodynamics solution to describe pseudorapidity densities and initial energy densities in high-energy p+p and Pb+Pb collisions at RHIC and LHC, comparing different energy estimates.

Contribution

It introduces a novel application of an exact hydrodynamics solution to analyze pseudorapidity densities and initial energy densities in high-energy collisions at RHIC and LHC.

Findings

Consistent description of pseudorapidity densities across collision types and energies.

Evaluation of initial energy densities and comparison with Bjorken's estimates.

Insights into energy density evolution in relativistic heavy-ion collisions.

Abstract

A known exact and accelerating solution of relativistic hydrodynamics for perfect fluids is utilized to describe pseudorapidity densities of $\sqrt{s_{NN}} = 5.02$ TeV Pb$+$Pb and $\sqrt{s}=13$ TeV $p$$+$$p$ collisions at LHC. We evaluate a conjectured initial energy densities $\epsilon_{\rm corr}$ in these collisions, and compare them to Bjorken's initial energy density estimates, and to results for Pb$+$Pb collisions at $\sqrt{s_{NN}} = 2.76$ TeV and $p$$+$$p$ collisions at $\sqrt{s} = 7$ and 8 TeV.