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SU(6)⊃SU(3)⊗SU(2) and SU(8)⊃SU(4)⊗SU(2) Clebsch–Gordan coefficients
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Tables of scalar factors are presented for \documentclass[12pt]{minimal}\begin{document}$\mathbf {63}\otimes \mathbf {63}$\end{document}63⊗63 and \documentclass[12pt]{minimal}\begin{document}$\mathbf {120}\otimes \mathbf {63}$\end{document}120⊗63 in SU(8)⊃SU(4)⊗SU(2), and for \documentclass[12pt]{minimal}\begin{document}$\mathbf {35}\otimes \mathbf {35}$\end{document}35⊗35 and \documentclass[12pt]{minimal}\begin{document}$\mathbf {56}\otimes \mathbf {35}$\end{document}56⊗35 in SU(6)⊃SU(3)⊗SU(2). Related tables for SU(4)⊃SU(3)⊗U(1) and SU(3)⊃SU(2)⊗U(1) are also provided so that the Clebsch–Gordan coefficients can be completely reconstructed. These are suitable to study meson–meson and baryon–meson interactions within a spin-flavor symmetric scheme.
Title: SU(6)⊃SU(3)⊗SU(2) and SU(8)⊃SU(4)⊗SU(2) Clebsch–Gordan coefficients
Description:
Tables of scalar factors are presented for \documentclass[12pt]{minimal}\begin{document}$\mathbf {63}\otimes \mathbf {63}$\end{document}63⊗63 and \documentclass[12pt]{minimal}\begin{document}$\mathbf {120}\otimes \mathbf {63}$\end{document}120⊗63 in SU(8)⊃SU(4)⊗SU(2), and for \documentclass[12pt]{minimal}\begin{document}$\mathbf {35}\otimes \mathbf {35}$\end{document}35⊗35 and \documentclass[12pt]{minimal}\begin{document}$\mathbf {56}\otimes \mathbf {35}$\end{document}56⊗35 in SU(6)⊃SU(3)⊗SU(2).
Related tables for SU(4)⊃SU(3)⊗U(1) and SU(3)⊃SU(2)⊗U(1) are also provided so that the Clebsch–Gordan coefficients can be completely reconstructed.
These are suitable to study meson–meson and baryon–meson interactions within a spin-flavor symmetric scheme.
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