ABSTRACT
Gell-Mann recently introduced a theory of strong interactions involving a new symmetry, called "unitary symmetry." The principal purpose of this note is to use this symmetry to express the magnetic moments of all the baryons in terms of those of the neutron and proton. This chapter derives a relation among baryon electromagnetic mass splittings. The unitary symmetry scheme proposes that the elementary particles may be represented as tensors in a three-dimensional space, and that the strong interactions are invariant under unitary transformations in this space. The scheme also proposes the existence of eight vector mesons which transform in the same way as ϕ. Gell-Mann has suggested that, in addition to invariance under unitary symmetry, the strong interactions may be invariant under a discrete symmetry.
