2013/12/11 by Prabal Adhikari, Thomas D. Cohen, Ishaun Datta · 1 citation
Physics and Astronomy · #Baryon #Condensed matter physics #Glueball #Hadron #High-Energy Particle Collisions Research #Nuclear matter #Nuclear physics #Nucleon #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Pauli exclusion principle #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Scalar (mathematics) #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevc.89.065201
published as Phys. Rev. C 89, 065201 (2014) · 6 pages, no figures
arxiv created 2013/12/11 · openalex publication_date 2014/06/04 · arxiv updated 2014/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We exhibit the existence of stable, saturated nuclear matter in the large Nc and heavy quark mass limits of QCD. In this limit, baryons (with the same spin flavor structure) interact at leading order in Nc via a repulsive interaction due to the Pauli exclusion principle and at subleading order in 1/Nc via the exchange of glueballs. Assuming that the lightest glueball is a scalar, which implies that the subleading baryon interaction is attractive, we find that nuclear matter saturates since the subleading attractive 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 a face-centered-cubic or a hexagonal-close-packed symmetry with baryon densities of O(\phantom\rule0.16em0ex\stackrel\ifmmode \else \~\fi\ensuremathαsmq[ln(Ncmq\ensuremathΛQCD^\ensuremath-1)]^\ensuremath-13). Remarkably, the leading order expression for the density of saturated nuclear matter is independent of the lightest glueball mass and scalar-glueball-baryon coupling in the extreme large Nc limit or heavy quark limit (or both), which we define precisely in this work.