Phys. Rev. D 70, 096015 (2004) - SU(3) Clebsch-Gordan coefficients for baryon-meson coupling at arbitrary ${N}_{c}$

SU(3) Clebsch-Gordan coefficients for baryon-meson coupling at arbitrary $N_{c}$

Thomas D. Cohen and Richard F. Lebed

Phys. Rev. D 70, 096015 – Published 29 November 2004

Abstract

We present explicit formulas for the SU(3) Clebsch-Gordan coefficients that are relevant for the couplings of large $N_{c}$ baryons to mesons. In particular, we compute the Clebsch-Gordan series for the coupling of the octet (associated with mesons, and remains the correct representation at large $N_{c}$ ) to the large $N_{c}$ analogs of the baryon octet and decuplet representations.

Received 2 September 2004

DOI:https://doi.org/10.1103/PhysRevD.70.096015

©2004 American Physical Society

Authors & Affiliations

Thomas D. Cohen^*

Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA

Richard F. Lebed^†

Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85287-1504, USA

^*Electronic address: cohen@physics.umd.edu
^†Electronic address: Richard.Lebed@asu.edu

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Issue

Vol. 70, Iss. 9 — 1 November 2004

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