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

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SUMMARY

The total charge parity of two particles A and B, denoted as ##C_{AB}##, can be expressed as the product of their individual charge parities, ##C_{AB} = C_{A} \cdot C_{B}##, under specific conditions. This relationship holds true when both particles are their own antiparticles. Additionally, the presence of relative angular momentum does not affect this relationship, confirming that the charge parity product remains valid regardless of angular momentum considerations.

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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?
 
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Coffee_ said:
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...

Coffee_ said:
Is this even the case when the system has a relative angular momentum?
yes it is
 

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