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Abstract: 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 thatthe VdW equation is appropriate at describing inter-nucleon forces, and discusshow each parameter scales with $N c$. We demonstrate that $N c=3$ our worldis not large with respect to the other dimensionless scale relevant to baryonicmatter, the number of neighbors in a dense system $N N$. Consequently, we showthat the liquid-gas phase transition looks dramatically different at $N c \to\infty$ with respect of our world: The critical point temperature becomes ofthe order of $\lqcd$ rather than below it. The critical point density becomesof the order of the baryonic density, rather than an order of magnitude belowit. These are precisely the characteristics usually associated with the-Quarkyonic phase-. We therefore conjecture that quarkyonic matter is simplythe large $N c$ limit of the nuclear liquid, and the interplay between $N c$and $N N$ is the reason why the nuclear liquid in our world is so differentfrom quarkyonic matter. We conclude by suggesting ways our conjecture can betested in future lattice measurements.



Autor: Giorgio Torrieri, Igor Mishustin

Fuente: https://arxiv.org/



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