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

N. Matagne·Fl. Stancu
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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.

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N. Matagne, Fl. Stancu. 2006-06-20. Matrix Elements of SU(6) Generators for Baryons at Arbitrary $N_c$. https://doi.org/10.1103/physrevd.73.114025

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