Yield ratio of hypertriton to light nuclei in heavy-ion collisions from $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}$ = 4.9 GeV to 2.76 TeV

Abstract

We resolve the difference in the yield ratio ${\mathrm{S}}_3$ = $\frac{{\mathrm{N}}_{{}_{\mathrm{\Lambda }}^3\mathrm{H}}/{\mathrm{N}}_{\mathrm{\Lambda }}}{{\mathrm{N}}_{{}^3\mathrm{He}}/{\mathrm{N}}_{\mathrm{p}}}$ measured in Au+Au collisions at $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}$ = 200 GeV and in Pb-Pb collisions at $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}$ = 2.76 TeV by adopting a different treatment of the weak decay contribution to the proton yield in Au+Au collisions at $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}$ = 200 GeV. We then use the coalescence model to extract information on the $\Lambda$ and nucleon density fluctuations at the kinetic freeze-out of heavy ion collisions. We also show from available experimental data that the yield ratio ${\mathrm{S}}_2$ = $\frac{{\mathrm{N}}_{{}_{\mathrm{\Lambda }}^3\mathrm{H}}}{{\mathrm{N}}_{\mathrm{\Lambda }}{\mathrm{N}}_{\mathrm{d}}}$ is a more promising observable than ${\mathrm{S}}_3$ for probing the local baryon-strangeness correlation in the produced medium.

Comments: 15 pages, 2 figures, 3 tables, submitted for publication