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I have a basic question about pseudoscalar mesons wavefunction.

As I understand it, mesons are bosons so they have a total symmetric wavefunction under exchange of particles.

For pseudoscalar mesons, the spacial wavefunction is anti-symmetric because the parity is negative ($P=(-1)^{L+1}$ and $L=0$ ).

The spin wavefunction is antisymmetric because it's in the singlet state.

The Color wavefunction is symmetric for all mesons.

That leaves me with the flavor wavefunction - for the octet particles, the flavor seems anti-symmetric, and the total wave function is antisymmetric.

How is it possible ?

Noam Chai
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the parity for the spacial part is not what your wrote. It is actually P=(−1)^L making it symmetrical. After that everything fits!