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

b_1(1235)

meson is a non-strange state with isospin

I=1

and charge parity

C=-1

. ((a)) Calculate its

G

-parity. ((b)) State whether a strong decay into an even or an odd number of pions is allowed, and check that the observed decay

b_1\to\omega\pi

, with the

\omega

then decaying to

3\pi

for four pions in all, is consistent.

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