Decay \eta\to\pi^0\gamma is forbidden by C parity. But why this decay is also forbidden by statistics (J)?(adsbygoogle = window.adsbygoogle || []).push({});

pi^0 spin is 0

photon spin is 1

But there are can be different situations with full orbital angular momentum of pi^0\gamma.

J=L+S and must be 0. Look like L is 0. But why? Why we can't have L=1 in this case? (unlike in \rho\to\pi^0\gamma decay)

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# \eta\to\pi^0\gamma decay (Why this decay is forbidden by J?)

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