One possible exotic QCD hadronic structure is (q q bar{q} bar{q}). Assuming the quarks and antiquarks to

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One possible exotic QCD hadronic structure is \(q q \bar{q} \bar{q}\). Assuming the quarks and antiquarks to transform according to the fundamental and conjugate representations of an \(\mathrm{SU}(3)\) color symmetry, respectively, find the color \(\mathrm{SU}(3)\) irreps corresponding to \(q q \bar{q} \bar{q}\) and show that \(\mathrm{SU}(3)\) color singlets occur in this product.

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