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I have a question with respect to the decomposition in irreducible representations of antiquark - antiquark ( SU(3) color ).

In the case of quark - quark what you have is a triplet with an antitriplet and what you obtain is an antitriplet and a sextet, and from the Young tables correspondent to them you can immediately see that the antitriplet is completly antisymmetric while the sextet is symmetric.

When the same is done for the antiquark - antiquark case, I cannot see the symmetry from the Young tables, in this case the triplet and the antisextet seems to me to not being symmetric or antisymmetric .

My question is with respect to the symmetry or antisymmetry of the triplet and antisextet in this last case, also, I would like to know if I can infer such symmetries from the adjoint representation (the first case).

Thank you

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# SU(3) decomposition

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