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What reasons prevent the decay
$\omega \rightarrow \pi^0 \pi^0 \pi^0$
from happening?
$\omega \rightarrow \pi^0 \pi^0 \pi^0$
from happening?
The omega meson (ω) cannot decay into three neutral pions (π0) due to conservation laws related to charge conjugation (C) symmetry. Specifically, the ω meson is classified as C-odd, while the decay product consisting of three neutral pions would be C-even. This violation of C-symmetry prohibits the decay process ω → π0 π0 π0 from occurring. For further details, refer to the Particle Data Group's resource on particle decays.
PREREQUISITESParticle physicists, students studying quantum mechanics, and researchers interested in meson decay processes will benefit from this discussion.