Abstract
The transport coefficients of a multi-component hadronic gas at zero and non-zero baryon chemical potential are calculated using the Chapman-Enskog method. The calculations are done within the framework of an $S$-matrix based interacting hadron resonance gas model. In this model, the phase-shifts and cross-sections are calculated using $K$-matrix formalism and where required, by parameterizing the experimental phase-shifts. Using the energy dependence of cross-section, we find the temperature dependence of various transport coefficients such as shear viscosity, bulk viscosity, heat conductivity and diffusion coefficient. We finally compare our results regarding various transport coefficients with previous results in the literature.
Highlights
One of the important discoveries from experiments at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) in search of the quark-gluon plasma (QGP) is the fact that the deconfined quark-gluon matter behaves as an almost-perfect fluid [1,2,3,4,5,6,7,8,9]
The phase shifts required for the calculation of S-matrix was calculated using the Kmatrix formalism for all hadrons except for nucleons, for which we directly parametrize the experimental phase shifts
We found that adding new species into the mixture, opens up new channels for interaction to occur, which leads to an increase in cross section and reducing the shear viscosity
Summary
One of the important discoveries from experiments at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) in search of the quark-gluon plasma (QGP) is the fact that the deconfined quark-gluon matter behaves as an almost-perfect fluid [1,2,3,4,5,6,7,8,9]. There are two other important reasons for studying the temperature dependence of transport coefficients Experimentally it has been observed [18,19] that η=s shows a minimum near the liquid-gas phase transition for different substances, this might help in studying QCD phase diagram. The cross sections that are used in the calculation of transport coefficients are calculated in the K-matrix formalism for all hadrons except for the nucleons, where we directly use the experimental phase shifts [29]. Compared to models like ideal hadron resonance gas, excluded volume approach [38,39,40,41,42] which uses constant values of a cross section, the present formalism utilizes the energy dependence of cross sections to calculate the temperature dependence of transport coefficients.
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