When is the total C-parity of two particles the product?

[Coffee_]

Let's say I have two particles A and B and I want to find the total charge parity of the system $C_{AB}$. In what cases is it allowed to say $C_{AB}=C_{A}.C_{B}$?

I suspect that if A and B are their own antiparticles, then that is OK.

Is this even the case when the system has a relative angular momentum?

 

[ChrisVer]

I suspect that if A and B are their own antiparticles, then that is OK.

A and B must be their own antiparticles in order for C[A] and C[ B] to make sense... otherwise the action of charge conjugation will change your eigenstate and so "eigenvalues" won't make much sense...

Is this even the case when the system has a relative angular momentum?

yes it is