Baryonic mass formula in large $N_c$ QCD versus quark model

Abstract

We establish a connection between the quark model results and the $1/N_c$ expansion mass formula used in the description of baryon resonances. We show that a remarkable compatibility exists between the two methods.

Minor changes, to be published in Phys. Rev. D

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• Electroexcitation of nucleon resonances
• Novel approaches in Hadron Spectroscopy
• The quantum N-body problem and the auxiliary field method
• Meson and glueball spectra with the relativistic flux tube model
• Constituent gluon interpretation of glueballs and gluelumps
• Semirelativistic potential model for three-gluon glueballs
• Spin contribution to light baryons in different large-$N$ limits
• Baryon resonances in large $N_c$ QCD
• The permutation group S_N and large Nc excited baryons
• The auxiliary field method in quantum mechanics
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion
• Mass formula for strange baryons in large $N_c$ QCD versus quark model
• Charm and bottom baryon masses in the combined $1/N_c$ and $1/m_Q$ expansion versus quark model
• Highly excited negative parity baryons in the $1/N_c$ expansion
• Regge phenomenology of the $N^{\ast }$ and ${\Delta }^{\ast }$ poles
• Short-range potentials from QCD at order $g^2$
• The wave function of $[70,1^{-}]$ baryons in the $1/N_c$ expansion
• Relativistic corrections for two- and three-body flux tube model
• Negative parity baryons in the $1/N_c$ expansion: the quark excitation versus the meson-nucleon resonance picture
• 1/Nc expansion and the spin-flavor structure of the quark interaction in the constituent quark model
• Many-quark interactions: Large-$N$ scaling and contribution to baryon masses
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• Negative parity baryons in the $1/N_c$ expansion: the three towers of states revisited
• $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• Accuracy Tests of the Envelope Theory
• Towers of baryons of the $\mathcal{N}=2$ quark model band in the large $N_c$ limit
• Comparative analysis of large Nc QCD and quark model approaches to baryons