General formulation of pionic decays in the quark model

Abstract

Predictions for pionic decays of resonances to states in the low-lying baryon 56 or meson 36 supermultiplets are shown to follow from general model-independent algebraic properties. All models in which transition operators change the state of only a single quark allow only two partial waves for the decay pion and give $\mathrm{SU}{\mathrm{}\left(6\right)\mathrm{}}_W$ relations between decays in each partial wave, while not necessarily relating different partial waves.