Shear viscosity at finite baryon densities

Abstract

We use the excluded volume Hadron Resonance Gas (HRG) model with the most up-to-date hadron list to calculate $\eta T/w$ at low temperatures and at finite baryon densities ${\rho }_B$. This $\eta T/w$ is then matched to a QCD-based shear viscosity calculation of the QGP for different profiles of $\eta T/w$ across {T,${\mu }_B$} including cross-over and critical point transitions. When compared to ideal hydrodynamic trajectories across {T,${\mu }_B$}, we find that the $\eta T/w(T,{\mu }_B)$ profiles would require initial conditions at much larger baryon density to reach the same freeze-out point.