Particle Ratios as a Probe of the QCD Critical Temperature

Abstract

We show how the measured particle ratios can be used to provide non-trivial information about the critical temperature of the QCD phase transition. This is obtained by including the effects of highly massive Hagedorn resonances on statistical models, which are used to describe hadronic yields. The inclusion of Hagedorn states creates a dependence of the thermal fits on the Hagedorn temperature, $T_H$, which is assumed to be equal to $T_c$, and leads to an overall improvement of thermal fits. We find that for Au+Au collisions at RHIC at $\sqrt{s_{NN}}=200$ GeV the best square fit measure, ${\chi }^2$, occurs at $T_c\sim 176$ MeV and produces a chemical freeze-out temperature of 172.6 MeV and a baryon chemical potential of 39.7 MeV.

6 pages, 4 figures

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• Freeze-out temperature from net-Kaon fluctuations at RHIC
• Strange hadron production in heavy ion collisions from SPS to RHIC
• Influence of hadronic resonances on the chemical freeze-out in heavy-ion collisions
• Examination of the sensitivity of the thermal fits to heavy-ion hadron yield data to the modeling of the eigenvolume interactions
• Understanding the $p/\pi$ ratio at LHC due to QCD mass spectrum
• Surprisingly large uncertainties in temperature extraction from thermal fits to hadron yield data at LHC
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• Particle production in Ultra-relativistic Heavy-Ion Collisions : A Statistical-Thermal Model Review
• Thermalization of Hadrons via Hagedorn States
• Elliptic Flow Suppression due to Hadron Mass Spectrum
• Particle Ratios and the QCD Critical Temperature
• Chemical Equilibration and Transport Properties of Hadronic Matter near $T_c$
• Hagedorn States and Thermalization
• Is Strangeness Chemically Equilibrated?
• Remarkable Features of Decaying Hagedorn States
• Testing the hadronic spectrum in the strange sector