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

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 ${\epsilon }_{\mathrm{corr}}$ 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.

6 pages, 2 figures. Presented at the XIII Workshop on Particle Correlations and Femtoscopy, Cracow, Poland