Calculating the Eta Particle's Composition

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Why is the eta particle written as 1/sqrt(6) *(uu(bar) + dd(bar) -2ss(bar))?
Thanks
 
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Because that's a definite-weight state of SU(3) flavor. And by definite-weight state I mean an eigenstate of specific SU(3) generators (specifically what are called Casimir operators, the analog of \vec{J}^2 for SU(2)). It's analogous to working out the product states of two spin 1/2 particles, but a little bit more complicated because the algebra of SU(3) has more generators than SU(2).
 
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Can you please specify for me a reference to check?
Thanks
 
Howard Georgi, "Lie Algebras In Particle Physics" is a standard reference.
 
Great, Thanks
 

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