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We exhibit the existence of stable, saturated nuclear matter in the large$N_{c}$ and heavy quark mass limits of QCD. In this limit, baryons (with thesame spin flavor structure) interact at leading order in $N_{c}$ via arepulsive interaction due to the Pauli exclusion principle and at subleadingorder in $1/N_c$ via the exchange of glueballs. Assuming that the lightestglueball is a scalar, which implies that the subleading baryon interaction isattractive, we find that nuclear matter saturates since the subleadingattractive interaction is longer ranged than the leading order repulsive one.We find that the saturated matter is in the form of a crystal with either aface-centered cubic or a hexagonal-close-packed symmetry with baryon densitiesof $\mathcal{O}((\, \tilde{\alpha}_{s} m_q (\ln(N_{c}m_{q}\Lambda_{\textrm{QCD}}^{-1}))^{-1})^3 )$. Remarkably, the leadingorder expression for the density of saturated nuclear matter is independent ofthe lighest glueball mass and scalar-glueball-baryon coupling in the extremelarge $N_{c}$ limit or heavy quark limit (or both), which we define preciselyin this work.

Density of Saturated Nuclear Matter at Large $N_{c}$ and Heavy Quark Mass Limits