C-Invariance: +1/-1 for Decay Forbidden/Allowed

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In summary, we are discussing which of the following decays are forbidden by C-invariance: ω° = π° + γ, η' = ρ° + γ, and π° = γ + γ + γ. The C quantum numbers for each decay can be found at the Particle Data Group Live website or on Wikipedia.
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Howlin
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Homework Statement



Which of the folowing decays are forbidden by C-iinvariance
ω° = π° + γ
η' = ρ° + γ
π° = γ +γ + γ




Homework Equations


None

The Attempt at a Solution


The answers are meant to be:
ω° = π° + γ
-1 : (+1) (-1) -> Allowed
η' = ρ° + γ
+1 -> (-1) (-1) -> Allowed

π° = γ +γ + γ
+1 -> (-1)(-1)(-1) -> forbidden

My question is where are those +1 and -1 gotten from, I have tried to find what values to put for the particles but cannot fund them anywhere.
Does anyone know if the three are right and if so where I can get the +1 or -1?
 
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  • #2
You can find the C quantum number at the http://pdglive.lbl.gov/listings1.brl?quickin=Y , for example. Even Wikipedia should have them...
 
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What is C-Invariance?

C-Invariance is a fundamental principle in physics that states that the laws of physics should be unchanged under the combined operations of charge conjugation (C), parity transformation (P), and time reversal (T).

What does +1/-1 mean in relation to C-Invariance?

+1 and -1 refer to the eigenvalues of charge conjugation. Under this principle, particles and their antiparticles have opposite charge conjugation eigenvalues (+1 for particles and -1 for antiparticles).

What is the significance of +1/-1 for decay being forbidden/allowed?

If a particle has a charge conjugation eigenvalue of +1 (allowed), it can decay into other particles without violating the principle of C-Invariance. However, if a particle has a charge conjugation eigenvalue of -1 (forbidden), it cannot decay into other particles without violating C-Invariance.

How is C-Invariance related to the weak nuclear force?

The weak nuclear force is the only fundamental force in nature that violates C-Invariance. This was first observed in the decay of the neutral kaon particle, which decays into a pair of pions. The decay is only allowed if C-Invariance is violated, which led to the discovery of a new fundamental symmetry known as CP-Invariance.

What are some examples of particles with +1/-1 charge conjugation eigenvalues?

Some examples of particles with a +1 charge conjugation eigenvalue are electrons, protons, and neutrons. Some examples of particles with a -1 charge conjugation eigenvalue are antielectrons (positrons), antiprotons, and antineutrons.

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