Matrix elements of SU(6) generators for baryons with arbitrary $N_c$ quarks in mixed symmetric states $[N_c-1,1]$

Abstract

We derive general analytic formulae for the matrix elements of the SU(6) generators for mixed symmetric $[N_c-1,1]$ spin-flavor states with an arbitrary number $N_c$ of quarks. They are relevant for baryon spectroscopy in the $1/N_c$ expansion method applied to light baryons and can be used to study excited states. In this way previous work on non-strange baryons can be extended to both non-strange and strange baryons.

18 pages, 5 tables, 1 figure, version of the article in press, Nucl. Phys. A (2009)

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• Excited $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD
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Cited by in corpus (10)

• Baryon resonances in large $N_c$ QCD
• SU(6) $[70,1^{-}]$ baryon multiplet in the $1/N_c$ expansion
• Highly excited negative parity baryons in the $1/N_c$ expansion
• The Isgur-Karl model revisited
• Updated $1/N_c$ expansion analysis of $[56,2^{+}]$ and $[70,{\mathbf{\ell }}^{+}]$ baryon multiplets
• $[70,{\mathbf{\ell }}^{+}]$ baryons in large $N_c$ QCD revisited: The effect on Regge trajectories
• Negative parity baryons in the $1/N_c$ expansion: the three towers of states revisited
• SU(3) Clebsch-Gordan coefficients at large $N_c$
• Group theoretical study of nonstrange and strange mixed symmetric baryon states $[N_c-1,1]$ in the $1/N_c$ expansion
• SU(3) flavor symmetry breaking in large $N_c$ excited hyperons