The tensor meson has and decays strongly into two pions in about of its decays

PHYSICS · Multi-part · Fermi University Physics · Particle Physics & Quantum Fields · Symmetry, groups and the quark model · Symmetry, groups and the quark model

Particle Physics, Ch Parity, charge conjugation, time reversal and CPT

Problem

The tensor meson f2(1270)f_2(1270) has JP=2+J^P = 2^+ and decays strongly into two pions in about 84%84\% of its decays, two thirds of those as π+π−\pi^+\pi^-. Each pion has intrinsic parity P(π)=−1P(\pi) = -1 and spin 00. ((a)) Find the orbital angular momentum LL of the two-pion final state. ((b)) Compute the total parity of the final state and state whether the decay is allowed by parity.

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