Supermultiplets of Elementary Particles

The notion of supermultiplets first developed by Wigner for the theory of nuclear structure is applied to the structure of elementary particles. The group structure is assumed to be S${\mathrm{U}}_6$. The quark model is assumed for the entire discussion, although some of these results can be obtained from other models. It is found that the octet of pseudoscalar mesons along with the octet and the singlet of vector mesons form a supermultiplet. Okubo's speculated mass form for the vector mesons is derived. It is also found that the octet of baryons along with a singlet particle of spin $\frac{3}{2}$ form a supermultiplet. The type of baryonic coupling for the electro-magnetic and weak current is derived.