Pseudo-rapidity distribution from a perturbative solution of viscous hydrodynamics for heavy ion collisions at RHIC and LHC

TL;DR

This paper presents an analytic perturbative solution to relativistic viscous hydrodynamics that accurately models the pseudorapidity distribution of charged particles in heavy ion collisions at RHIC and LHC energies.

Contribution

It introduces a novel perturbative approach incorporating longitudinal acceleration effects to derive pseudorapidity spectra in relativistic viscous hydrodynamics.

Findings

The model fits well with experimental data from RHIC and LHC.

It successfully predicts pseudorapidity distributions for Xe+Xe collisions at 5.44 TeV.

The approach enhances understanding of longitudinal dynamics in heavy ion collisions.

Abstract

The charged-particle's final state spectrum is derived from an analytic perturbative solution for the relativistic viscous hydrodynamics. By taking into account the longitudinal acceleration effect in relativistic viscous hydrodynamics, the pseudorapidity spectrum describes well the nucleus-nucleus colliding systems at RHIC and LHC. Based on both the extracted longitudinal acceleration parameters $\lambda^{*}$ and a phenomenological description of the $\lambda^{*}$, the charged-particle's pseudorapidity distributions for $\sqrt{s_{NN}}$ = 5.44 TeV Xe+Xe collisions are computed from the final state expression in a limited space-time rapidity $\eta_{s}$ region.