In Chap. 4 it was shown how the observed strongly interacting particles can be grouped into multiplets according to the relevant symmetry group. In particular, the SU (3) classification of mesons and baryons was shown there to account quite well for many observed features of these particles and their interactions. However, a number of problems that arise with such a scheme were set aside in Sect. 4.3.3. First of all, we were not able to explain why in particular the baryons appear in octets and decuplets, whereas the mesons can be grouped into nonets, which seemed to be mixtures of singlets and octets. Further, the question arose why the fundamental SU (3) triplet does not seem to be realized in nature.
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