Systematics of yields of strange hadrons from heavy-ion collisions around threshold energies

Abstract

The parametrizations of experimental yields of K${}^{\pm ,0}$, $\ddot{I}•$ and $\hat{I}›+\hat{I}{\pounds }^0$ are proposed as function of available energy, $\sqrt{s_{\mathrm{NN}}}$, and number of participants, $⟨A_{\mathrm{part}}{⟩}_{\mathrm{b}}$, for $\sqrt{s_{\mathrm{NN}}}$ from 2.15 to 3 GeV. For all the dataset the $⟨A_{\mathrm{part}}{⟩}_{\mathrm{b}}$ was extracted using the Glauber Monte Carlo method. The $\hat{I}\pm$ exponent of yield dependency on $⟨A_{\mathrm{part}}{⟩}_{\mathrm{b}}$ appears not to change with beam energy and is found to be 1.30 $\pm$ 0.02. Our parametrization and the predictions of public versions of RQMD.RMF, SMASH and UrQMD transport models are compared to the HADES experimental data for Ar+KCl at $\sqrt{s_{\mathrm{NN}}}$ of 2.61 GeV. The phenomenological parametrization currently offers the best overall description of these yields. Predictions are given for yields from Ag+Ag collisions at available energies of 2.41 and 2.55 GeV, analysed by HADES, Au+Au experiment at 2.16 and 2.24 GeV planned by this collaboration, some unpublished yields for STAR's Au+Au collisions at 3 GeV, and for Au+Au collisions planned by CBM, up to 3.85 GeV.

22 pages, 4 figures, 8 tables