# Nuclear Physics & RIKEN Theory Seminar

## "The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation"

#### Presented by Giorgio Torrieri, Columbia University

Friday, July 30, 2010, 2:00 pm — Small Seminar Room, Bldg. 510

The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation We examine the nuclear liquid-gas phase transition at large number of colors ($N_c$) within the framework of the Van Der Waals (VdW) model. We argue that the VdW equation is appropriate at describing inter-nucleon forces , and discuss how each parameter scales with $N_c$. We demonstrate that $N_c=3$ is not large with respect to the other dimensionless scale relevant to baryonic matter, the number of neighbours in a dense system. Consequently, we show that the liquid-gas phase transition looks dramatically different at $N_c \rightarrow \infty$ with respect of our world: The critical point temperature becomes of the order of $\lqcd$ rather than below it. The critical point density becomes of the order of the baryonic density, rather than an order of magnitude below it. These are precisely the characteristics usually associated with the Quarkyonic phase''. We therefore argue that at large $N_c$ the nuclear liquid phase coincides with the conjectured quarkyonic phase, although the two are thought to occur at very different scales in our world.

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