#### Abstract

With a view to avoiding some of the kinematical and dynamical difficulties involved in the single-triplet quark model, a model for the low-lying baryons and mesons based on three triplets with integral charges is proposed, somewhat similar to the two-triplet model introduced earlier by one of us (Y. N.). It is shown that in a $U\left(3\right)\mathrm{}$ scheme of triplets with integral charges, one is naturally led to three triplets located symmetrically about the origin of ${I}_{3}-Y$ diagram under the constraint that the Nishijima-Gell-Mann relation remains intact. A double $\mathrm{SU}\left(3\right)\mathrm{}$ symmetry scheme is proposed in which the large mass splittings between different representations are ascribed to one of the $\mathrm{SU}\left(3\right)\mathrm{}$, while the other $\mathrm{SU}\left(3\right)\mathrm{}$ is the usual one for the mass splittings within a representation of the first $\mathrm{SU}\left(3\right)\mathrm{}$.

DOI: http://dx.doi.org/10.1103/PhysRev.139.B1006

- Received 12 April 1965
- Published in the issue dated August 1965

© 1965 The American Physical Society