The Gell-Mann-Okubo and Coleman-Glashow relations for octet and decuplet baryons in the SUq(3) quantum algebra

DOI10.1063/1.2218672zbMath1112.81059arXivhep-ph/0511202OpenAlexW1484222800MaRDI QIDQ3441974

Antonio E. Cárcamo Hernández

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0511202

zbMATH Keywords

quantum algebramass relations\(q\)-deformed Clebsch-Gordan coefficients

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Strong interaction, including quantum chromodynamics (81V05) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Cites Work

• Unnamed Item
• Quantum algebras in phenomenological description of particle properties
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Casimir operators of U q sl(3)
• Wigner-Eckart theorem for the quantum group U_q(n)
• Tensor-like technique and quantum algebra su_q(3)
• Raising and lowering operators for u_q(n)
• The Octet Model and its Clebsch-Gordan Coefficients
• New link polynomial obtained from octet representation of quantum sl (3) enveloping algebra

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