Decay rho->eta + pion is forbidden.why?

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decay rho-->eta + pion is forbidden.why?

is it only violation of charge conjugate or its not conserve the energy & momentum.
 
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It violates G-parity.

C is not a good symmetry for charged particles.
 


Vanadium 50 said:
It violates G-parity.

C is not a good symmetry for charged particles.

To expand a bit on this (and please feel free to correct me if I am wrong), G-parity is conserved in strong interactions but not in weak or electromagnetic. So, \rho \rightarrow \pi\pi dominates the decay of a rho since it is a strong decay, but the decay \rho \rightarrow \eta \pi should still be allowed for a weak process, albeit suppressed in comparison to the 2 pion channel due to phase space considerations.
 


Yes, but weak decays are suppressed by the couplings. You'll be down 10, 12 maybe 15 orders of magnitude. The small isospin violation in the strong interaction is probably more important.
 


the strangeness is conserve,
so,is it only the isospin violate make this decay forbidden?
 


It is only the G parity. The decay occurs via the EM interaction, with an intermediate virtual photon.
 

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