Does nuclear matter bind at large $N_c$?

Abstract

The existence of nuclear matter at large $N_c$ is investigated in the framework of effective hadronic models of the Walecka type. This issue is strongly related to the nucleon-nucleon attraction in the scalar channel, and thus to the nature of the light scalar mesons. Different scenarios for the light scalar sector correspond to different large $N_c$ scaling properties of the parameters of the hadronic models. In all realistic phenomenological scenarios for the light scalar field(s) responsible for the attraction in the scalar channel it is found that nuclear matter does not bind in the large $N_c$ world. We thus conclude that $N_c=3$ is in this respect special: 3 is fortunately not large at all and allows for nuclear matter, while large $N_c$ would not.

18 pages, 5 figures

References in corpus (15)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• A low-lying scalar meson nonet in a unitarized meson model
• The Physics of Glueballs
• Scalar Glueball, Scalar Quarkonia, and their Mixing
• Mixing of scalar tetraquark and quarkonia states in a chiral approach
• On the spectral functions of scalar mesons
• Strong and electromagnetic decays of the light scalar mesons interpreted as tetraquark states
• Role of the tetraquark in the chiral phase transition
• Baryonium, tetra-quark state and glue-ball in large N_c QCD
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• A chiral lagrangian with Broken Scale: testing the restoration of symmetries in astrophysics and in the laboratory
• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• The Dichotomous Nucleon: Some Radical Conjectures for the Large Nc Limit
• Large Nc Behavior of Light Scalar Meson Nonet Revisited
• How large is "large $N_c$" for Nuclear matter?

Cited by in corpus (16)

• SU(N) gauge theories at large N
• The hadronic SU(3) Parity Doublet Model for Dense Matter, its extension to quarks and the strange equation of state
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Hybrid Stars in an SU(3) Parity Doublet Model
• Baryonic Popcorn
• The Hawking-Page crossover in noncommutative anti-deSitter space
• Holographic baryonic matter in a background magnetic field
• Non-ordinary light meson couplings and the $1/N_c$ expansion
• Polyakov SU(3) extended linear $\sigma$-model: Sixteen mesonic states in chiral phase-structure
• A percolation transition in Yang-Mills matter at finite number of colours
• Restoration of chiral symmetry in the large-N_c limit
• The fate of the critical endpoint at large $N_c$
• Properties of hadrons in a chiral model with (axial-)vector mesons
• Neutron stars in the large-$N_c$ limit
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Phenomenological improvement of the linear-$\sigma$ model in the large-N_c limit