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200<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi></mml:math>GeV<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Au</mml:mi><mml:mo>+</mml:mo><mml:mi>Au</mml:mi></mml:math>Collisions Serve a Nearly Perfect Quark-Gluon Liquid

Huichao SongNuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USASteffen A. BassDepartment of Physics, Duke University, Durham, North Carolina 27708, USAUlrich HeinzDepartment of Physics, The Ohio State University, Columbus, Ohio 43210, USATetsufumi HiranoDepartment of Physics, The University of Tokyo, Tokyo 113-0033, JapanChun ShenDepartment of Physics, The Ohio State University, Columbus, Ohio 43210, USA
2011lv
ABI

Abstract

A new robust method to extract the specific shear viscosity $(\ensuremath{\eta}/s{)}_{\mathrm{QGP}}$ of a quark-gluon plasma (QGP) at temperatures ${T}_{c}&lt;T\ensuremath{\lesssim}2{T}_{c}$ from the centrality dependence of the eccentricity-scaled elliptic flow ${v}_{2}/\ensuremath{\epsilon}$ measured in ultrarelativistic heavy-ion collisions is presented. Coupling viscous fluid dynamics for the QGP with a microscopic transport model for hadronic freeze-out we find for 200 $A$ GeV $\mathrm{Au}+\mathrm{Au}$ collisions that ${v}_{2}/\ensuremath{\epsilon}$ is a universal function of multiplicity density $(1/S)(d{N}_{\mathrm{ch}}/dy)$ that depends only on the viscosity but not on the model used for computing the initial fireball eccentricity $\ensuremath{\epsilon}$. Comparing with measurements we find $1&lt;4\ensuremath{\pi}(\ensuremath{\eta}/s{)}_{\mathrm{QGP}}&lt;2.5$ where the uncertainty range is dominated by model uncertainties for the values of $\ensuremath{\epsilon}$ used to normalize the measured ${v}_{2}$.

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