Demonstrate that for colors (r, g), and (b), color (mathrm{SU}(3)) two-quark states are of the form (q

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Demonstrate that for colors \(r, g\), and \(b\), color \(\mathrm{SU}(3)\) two-quark states are of the form \(q q=\mathbf{3} \otimes \mathbf{3}=\mathbf{6} \oplus \overline{\mathbf{3}}\), with

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Show that this implies that the non-color part of any two-quark wavefunction in a baryon must be symmetric.

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