Symmetry & Invariance of Pions: π+, π0, π− and Other Mesons Explained

It can be confusing and makes it difficult for others to find relevant information.In summary, pions are spin-0 particles that form an isospin triplet with electric charges π+, π0, and π−. They have an intrinsic parity of -1 and are classified as pseudoscalar mesons. Other mesons, such as the ρ mesons (ρ+, ρ0, ρ−), also form an isospin triplet but have spin 1 and an intrinsic parity of -1. While the ρ0 can decay into π+π− via the strong interaction, it cannot decay into π0π0 due to the conservation of angular momentum and the fact that pions are bosons.
  • #1
Rafaelmado
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TL;DR Summary
Could someone please help me with this problem?
Pions are particles with spin 0 and they form an isospin triplet: π+, π0, π (with the superscript indicating the electric charge). Their intrinsic parity is −1 and they are pseudoscalar mesons. In nature we also find other kind of mesons, like the ρ mesons, ρ+, ρ0 and ρ. As pions, they also form an isospin triplet but they are vector mesons, i.e., they have spin 1 and intrinsic parity −1. The ρ0 decays into π+π via the strong interaction, which preserves parity. Prove that a ρ0 cannot decay into π0π0 via the strong interaction. Hints: Remember that pions are bosons and angular momentum is conserved in a reaction.
 
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  • #2
This looks like a homework problem. It needs to be posted in the appropriate homework forum, with the homework template filled out.

Also, please do not use the same title for multiple threads with different questions.
 
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