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

Abstract

In a boost-invariant hydrodynamic model, we have analyzed $\varphi$ 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.

Comments: 6 pages, 3 figures. Revised version. A mistake was corrected. We claim that threshold energy for confinemnet-deconfinement transition can be determined from the existing phi meson data