Abstract
We discuss systematic uncertainties in the chemical freeze-out parameters from the $\chi^2$ analysis of hadron multiplicity ratios in the heavy-ion collision experiments. The systematics due to the choice of specific hadron ratios are found to lie within the experimental uncertainties. The variations obtained by removing the usual constraints on the conserved charges show similar behavior. The net charge to net baryon ratios in such unconstrained systems are commensurate with the expected value obtained from the protons and neutrons of the colliding nuclei up to the center of mass energies $\sim 40$ GeV. Beyond that the uncertainties in this ratio gradually increases, possibly indicating the reduction in baryon stopping.
Highlights
Experimental data from the relativistic heavy-ion collisions indicate that a considerable fraction of energies of the colliding nuclei are deposited in the region of interaction to form a hot and dense fireball
The error bars considered in the literature, which are obtained by varying the χ2 by a small amount, agree well with the systematic variations obtained by us
The usual practice is to choose a suitable set of hadron ratios such that the χ2 is minimized with respect to the freeze-out parameters close to the value of χ2=number of degrees of frepedffioffi m (NDF) 1⁄4 1
Summary
Experimental data from the relativistic heavy-ion collisions indicate that a considerable fraction of energies of the colliding nuclei are deposited in the region of interaction to form a hot and dense fireball. Assuming the chemical equilibration of the full hadronic spectra, the thermodynamic freeze-out parameters are obtained from the statistical model calculations by performing a χ2 fit with the available experimental multiplicity data [25,26,27,30,47,48,49,50,51,52,53]. We revisit the analysis of the chemical freeze-out parameters from the χ2 fit of experimental multiplicity data ratios using the hadron resonance gas (HRG) model for a different purpose. We shall instead consider a variety of possible sets of hadron yield ratios to obtain the variations of the estimated freeze-out.
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