Entropic destruction of a moving heavy quarkonium

Recently it has been shown that the peak of the quarkonium entropy at the deconfinement transition is related to the emergent entropic force which destructs the quarkonium. Using the AdS/CFT correspondence, we consider dissociation of a moving heavy quarkonium by entropic force. For larger distance of quark and antiquark, the entropy of moving quarkonium increases, monotonically. We find that the entropic force destructs the moving quarkonium easier than the static case. By considering the Maxwell charge, we study the effect of the medium on the destruction of heavy quarkonium. It is shown that the quarkonium dissociates easier in the medium. Our results imply that the quarkonium dissociates easier when it moves orthogonal to the plasma wind rather than parallel.

Figure 1

The entropy of the moving heavy quarkonium in the $N=4$ SYM versus $LT$ when the quarkonium is moving transverse (left plot) and parallel (right plot) to the wind. From top to bottom the velocity is $\beta =0.9$, 0.6, 0.3, 0.

Figure 2

In this figure, we compare the entropy of the moving heavy quarkonium transverse (top curve) and parallel (bottom curve) in the $N=4$ SYM versus $LT$.

Figure 3

The entropy of the quark-antiquark pair at large distance in the confining theories as a function of $T/T_c$. One should notice that this is a schematic plot. Left: in the confining YM theory. Right: at finite density with $\mu =30\mathrm{MeV}$ and $n=2/3$.

Figure 4

The effect of medium on the entropy of the moving heavy quarkonium in the medium, with $n=1$ and $\mu =55\mathrm{MeV}$, versus $LT$ when the quarkonium is moving transverse (left plot) and parallel (right plot) to the wind. From top to bottom the velocity is $\beta =0.9$, 0.6, 0.3, 0. To compare with zero charge density, see Fig. 1.

Figure 5

The entropy of the moving heavy quarkonium at finite density versus $LT$ when the quarkonium is moving transverse (top curve) and parallel (bottom curve) to the wind. To compare with zero charge density, see Fig. 2.