Show that a meson that decays to pairs by the strong interaction must have C P (1) J , where J is the spin of the meson The 0 (775) and f 2 0 (1275) mesons decay by strong interactions to give pairs and have spin 1 and spin 2, respectively Which of the decays 0 0 and f 0 2 0 is forbidden in electromagnetic interactions Which of the decays 0 0 0 and f 0 2 0 0 is forbidden in any interaction

Question: Show that a meson that decays to + pairs by the strong interaction must have C = P = (1) J ,

Show that a meson that decays to π⁺π⁻ pairs by the strong interaction must have C = P = (−1)^J, where J is the spin of the meson. The ρ⁰(775) and f²₀ (1275) mesons decay by strong interactions to give π⁺π⁻ pairs and have spin-1 and spin-2, respectively. Which of the decays ρ⁰ → π⁰γ and f⁰₂ → π⁰γ is forbidden in electromagnetic interactions? Which of the decays ρ⁰ → π⁰π⁰ and f⁰₂ → π⁰π⁰ is forbidden in any interaction?

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