Unitary Triplets and the Eightfold Way

In order to explain the eightfold way, four elementary baryon fields are introduced. Three of them form a unitary triplet and the fourth is a unitary singlet. In this approach, triplets, sextets, etc., are possible multiplets as well as singlets, octets, decuplets, etc. This model has a new quantum number, "hypercharge center." Assuming that the symmetry-breaking interactions transform like components of a triplet, selection rules in the production and decay of the triplets are derived. It is proposed that the isodoublet κ(725) along with the isosinglet z⁺(Y=2) or η^'(Y=0) forms a unitary triplet. If the symmetry-breaking interaction transforms like a component of the octet, the following baryon lepton symmetry suggested by Gell-Mann νₑ↔p''cosθ+Z''sinθ, ν_μ↔-p''sinθ+Z''cosθ e^-↔n''cosθ^'+Λ^'''sinθ^', ${{μ}}^{{-}}{↔}{-}n''{sin{θ}}^{{'}}+{{Λ}}^{{'}}''{cos{θ}}^{{'}},$ between four leptons and four elementary baryon fields is shown to be possible.