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.

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

References in corpus (30)

• SU(N) gauge theories at large N
• The Flavor Structure of the Excited Baryon Spectra from Lattice QCD
• Are There Tetraquarks at Large $N_c$ in QCD(F)?
• Model-Independent Bottom Baryon Mass Predictions in the 1/N Expansion
• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• Baryonic mass formula in large $N_c$ QCD versus quark model
• Baryons and Skyrmions in QCD with Quarks in Higher Representations
• The Hopf Skyrmion in QCD with Adjoint Quarks
• Electromagnetic Decay of the ${\Sigma }^0(1385)$ to $\Lambda \gamma$
• All you need is N: Baryon spectroscopy in two large N limits
• Present status on experimental search for pentaquarks
• The Nc dependencies of baryon masses: Analysis with Lattice QCD and Effective Theory
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$
• Analysis of Negative Parity Baryon Photoproduction Amplitudes in the $1/N_c$ Expansion
• Skyrmions in Yang--Mills Theories with Massless Adjoint Quarks
• The permutation group S_N and large Nc excited baryons
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Photo-production of Positive Parity Excited Baryons in the 1/Nc Expansion of QCD
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• Analysis of 56-plet positive parity baryon decays in the 1/Nc expansion
• 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
• Positive parity pentaquark towers in large Nc QCD
• Light and heavy baryon masses: the 1/N_c expansion and the quark model
• Baryon resonances in large N_c QCD
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Hadronic Decays and Baryon Structure

Cited by in corpus (3)

• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons