The meson is a non-strange state with isospin and charge parity .

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 Isospin as a group: SU(2), Clebsch-Gordan ratios and G-parity

Problem

The

a_1(1260)

meson is a non-strange state with isospin

I=1

and charge parity

C=+1

. ((a)) Calculate its

G

-parity. ((b)) State whether its strong decay into an all-pion final state must contain an even or an odd number of pions, and check this against its dominant decay chain

a_1\to\rho\pi\to(\pi\pi)\pi=3\pi

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