Baryon resonances in large $N_c$ QCD

Abstract

We review the current status and present open challenges of large $N_c$ QCD baryon spectroscopy. After introducing the $1/N_c$ expansion method we first shortly revisit the latest achievements for the ground state properties. Next we discuss the applicability of this method to excited states, presenting two different approaches with their advantages and disadvantages. Selected results for the spectrum and strong and electromagnetic decays are described. We also show further developments supported by the qualitative compatibility between the quark excitation picture and the meson-nucleon scattering picture. We give a quantitative comparison between results obtained from the mass formula of the $1/N_c$ expansion method and quark models and shortly discuss the implications of different large $N_c$ limits.

arXiv comment45 pages, 5 figures, accepted for publication in Reviews of Modern Physics

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Cited by in corpus (14)

• 50 Years of Quantum Chromodynamics
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Tetraquarks in large-$N_c$ QCD
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
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• Large-$N_c$ operator analysis of hyperon-nucleon interactions in SU(3) chiral effective field theory
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• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons