Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$

Abstract

We present explicit formulas for the matrix elements of the SU(6) generators for totally symmetric spin-flavor states, relevant for baryon spectroscopy in large $N_c$ QCD. We rely on the interplay between two different methods to calculate these matrix elements. As an outcome, general analytic formulas of the corresponding SU(6) isoscalar factors are derived for arbitrary $N_c$. These results can be used to study excited states of nonstrange and strange baryons.

20 pages, 1 table, RevTeX4, version accepted for publication in Phys. Rev. D

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Cited by in corpus (14)

• Masses of $[70,{\ell }^{+}]$ Baryons in the $1/N_c$ Expansion
• New look at the $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Baryon resonances in large $N_c$ QCD
• Baryon Regge Trajectories in the Light of the $1/N_c$ Expansion
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Matrix elements of SU(6) generators for baryons with arbitrary $N_c$ quarks in mixed symmetric states $[N_c-1,1]$
• Baryon Chiral Perturbation Theory combined with the $1/{\mathbf{N}}_{\mathbf{c}}$ Expansion in SU(3) I: Framework
• Excited $(70,L^{+})$ baryon resonances in the relativistic quark model
• Transition probabilities in the U(6) limit of the Symplectic Interacting Vector Boson Model
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• Pion Electroproduction Amplitude Relations in the 1/N_c Expansion
• SU(3) Clebsch-Gordan coefficients at large $N_c$
• Masses of $[70,{\ell }^{+}]$ baryons in large $N_c$ QCD
• Excited $[70,{\ell }^{+}]$ baryon resonances in large $N_c$ QCD