PHYSICS · Multi-part · Fermi University Physics · Particle Physics & Quantum Fields · Symmetry, groups and the quark model · Symmetry, groups and the quark model
Symmetry and Flavour, Ch Parity, charge conjugation and time reversal as operators, and the CPT theorem
Problem
A baryon resonance decays to pπ+π−. In the resonance's rest frame, the two pions are emitted with relative orbital angular momentum L12=1 between themselves, and their combined two-pion system orbits the proton with orbital angular momentum L3=0. Take P(p)=+1, P(π+)=P(π−)=−1.
((a)) Write the total parity of the three-body final state as a product of the three intrinsic parities and the two orbital factors.
((b)) Evaluate it.