Hadronization effects on the baryon-strangeness correlation in quark combination models

TL;DR

This paper investigates how hadronization affects the baryon-strangeness correlation in quark matter using the quark combination model, comparing results with statistical models, lattice QCD, and making predictions for future experiments.

Contribution

It introduces a detailed analysis of baryon-strangeness correlation during hadronization, incorporating effects beyond Poisson statistics and comparing with lattice QCD results.

Findings

Quark combination results match statistical models at zero chemical potential.

Results differ from models at large chemical potentials.

Predictions for $C_{BS}$ dependence on chemical potential are made for future testing.

Abstract

The baryon-strangeness correlation in the hadronization of the quark matter is studied within the quark combination mechanism. We calculate the correlation coefficient $C_{BS} = -3\big(\langle B S \rangle -\langle B\rangle \langle S\rangle\big)/\big( \langle S^2 \rangle-\langle S \rangle^2 \big)$ of initial hadrons produced from the deconfined free quark system with $C^{(q)}_{BS}=1$. The competition of the production of baryons against that of mesons is the key dynamics that is most relevant to the change of baryon-strangeness correlation during system hadronization. Results of quark combination under the Poisson statistics agree with the statistical model predictions for a hadron resonance gas at vanishing chemical potential but differ from those at relatively large chemical potentials. Results beyond Poisson statistics are also obtained and are compared with calculations of Lattice QCD in the phase boundary, giving the best agreement at temperature $T =163$ MeV. We predict the dependence of the $C_{BS}$ of hadron system on the baryon chemical potential and strangeness. These predictions are expected to be tested by the future Lattice QCD calculations at non-zero chemical potentials and/or by the Beam Energy Scan experiment of STAR Collaboration at RHIC.