Electromagnetic and Decay Properties ofG2Multiplets

Abstract

In this paper we write down consequences of exact and approximate invariance under the group $G_2$, for the baryons, mesons, and resonances. We use the method of Weyl reflections and the Shmushkevich algorithm, previously applied to the group ${\mathrm{SU}}_3$, to derive electromagnetic mass and magnetic moment relationships, and also relationships between the one- to two-particle decay vertices (coupling constants). The assignment of multiplets is the usual one, using the singlet, the 7-fold, and the 14-fold representations of $G_2$.