##\pi \rightarrow \gamma \gamma## spin,C,P

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I was just wondering... Is it possible to explain the J,C,P of the [itex]\pi^0[/itex], [itex]J^{CP}=0^{+-}[/itex] just from the diphoton decay?
[itex]\pi^0 \rightarrow \gamma \gamma[/itex]

The [itex]C[/itex] is straightforward.
However are the [itex]J,P[/itex] deduced by this interaction alone?
 
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