Quartet Scheme for Elementary Particles

TLDR: In this article, a unified model for elementary particles is developed by generalizing the viewpoint of Sakata-Nagoya model with the quartet of new baryons Xo and X CX1, Xz and Xs.

Abstract: A possible unified model for elementary particles is developed by generalizing the viewpoint of Sakata-Nagoya model. Instead of the Sakata triplet (p, nand A), we work with the quartet of new baryons Xo and X CX1, Xz and Xs) of spin 1/2, of which Xo belongs to U(1) whereas the other three to U(3). Strong interactions are subjected to a "broken U(1) X U(3)" symmetry. Baryon octet (N, 1:, A and 3) and meson octets (K, 11:, 71, K; etc.) are interpreted, respectively, as the three (XXXo)­ or two (XX) -body composite systems both belonging to 8-dimensional representations of SU(3). One of the crucial test of the model is the prediction of triplet mesons (XXo), the iso-doublet of which can be identified with /C.-mesons. The baryon quartet, Xo and X, corresponds to four leptons in the sense of "modified" baryon-lepton symmetry. This enables us to explain Cabibbo's pheno­ menological weak interaction as a consequence of the present scheme.