Understanding Meson Mixed States & Why They Don't Use Imaginary Phase

tzimie
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Why mesons mixed states are defined as SOMETHING +/- SOMETHING [+/- SOMETHING] normalized by 1/sqrt(2) or 1/sqrt(3), So the sum uses quotient +1 or -1.

But in electroweak symmetry breaking charged W boson is defined as W1 (+/-) i*W2, so the quotient is +i or -i. So why mesons never use imaginary phase?
 
mesons mix due to direct product of two ##SU(2)_f## or ##SU(3)_f## representation, while W boson mix is due to the sum of two pauli matrices ##\sigma_1## and ##\sigma_2##(which is Imaginary).

So the reason is they are generated by the defferent mechanism.
 

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