The Octet Model and its Clebsch-Gordan Coefficients

1963/10/01 by J. J. de Swart · 991 citations
Mathematics · Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Clebsch–Gordan coefficients #Elementary particle #Group (periodic table) #Group theory #Irreducible representation #Isospin #Mass formula #Mathematical physics #Mathematics #Meson #Octet #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Resonance (particle physics) #Symmetry (geometry) #Yukawa potential

paper · open access · doi:10.1103/revmodphys.35.916

published in Reviews of Modern Physics 35(4), 916-939 (American Physical Society)

openalex publication_date 1963/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Clebsch-Gordan (CG) coefficients of SU(3) are derived for the products of the most important irreducible representations. Useful symmetry relations for the CG coefficients are derived. The Wigner-Eckart theorem for this group is given and applied to derive a general mass formula for the octets. The Gell-Mann-Okubo mass relation and a mass relation foi the octets that is very well satisfied by the vector mesons, if one takes as the K/sup */ the 730-Mev (K- pi ) resonance, are given. The Yukawa couplings between baryons and mesons are considered. The mathematical framework of the octet model for strong interactions is examined. (C.E.S.)

Citations

• Symmetries of Baryons and Mesons

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