A lattice based equation of state and $\phi$ meson production in $\sqrt{s}$=6-200 GeV Pb+Pb and Au+Au collisions

TL;DR

This study uses a hydrodynamic model with a lattice-based equation of state to analyze $\

Contribution

It introduces a lattice-based equation of state in hydrodynamic modeling to identify the deconfinement transition threshold in heavy-ion collisions.

Findings

Deconfinement transition occurs above approximately 13.65 GeV.

Hydrodynamic evolution aligns with lattice QCD predictions.

The model successfully describes $\

Abstract

In a boost-invariant hydrodynamic model, we have analyzed $\phi$ meson production in Pb+Pb and Au+Au collisions, in the centre of mass energy range $\sqrt{s}$= 6-200 GeV. Hydrodynamic evolution is governed by a lattice based equation of state with a confinement-deconfinement {\em cross over} at $T_{co}$=196 MeV. We also look for the threshold energy above which the confined matter undergoes a deconfinement transition. Analysis indicate that above a threshold energy, ${\sqrt{s}}_{th}$=$13.65 \pm 3.06$ GeV, the fluid medium crosses over from a confined phase to a deconfined phase.