Experimental Determination of $η$/$s$ for Finite Nuclear Matter

Abstract

We present, for the first time, simultaneous determination of shear viscosity ($η$) and entropy density ($s$) and thus, $η/s$ for equilibrated nuclear systems from $A$ $\sim$ 30 to $A$ $\sim$ 208 at different temperatures. At finite temperature, $η$ is estimated by utilizing the $γ$ decay of the isovector giant dipole resonance populated via fusion evaporation reaction, while $s$ is evaluated from the nuclear level density parameter (${a}$) and nuclear temperature ($T$), determined precisely by the simultaneous measurements of the evaporated neutron energy spectra and the compound nuclear angular momenta. The transport parameter $η$ and the thermodynamic parameter $s$ both increase with temperature resulting in a mild decrease of $η$/$s$ with temperature. The extracted $η$/$s$ is also found to be independent of the neutron-proton asymmetry at a given temperature. Interestingly, the measured $η$/$s$ values are comparable to that of the high-temperature quark-gluon plasma, pointing towards the fact that strong fluidity may be the universal feature of the strong interaction of many-body quantum systems.

Accepted for publication in Physical Review Letters, 6 pages, 4 figures