Abstract
In this paper classification of new particles and the arrangement of the selection rules of their various interactions are attempted on the basis of a new symmetry scheme, SU(2) × SU(2) × SU(2) × SU(2). With this symmetry we define the quantum numbers for the predicted internal motions: isospin τ, hypercharge spin ζ, charm spin H and upsilon spin U, respectively. Our selection rules using these quantum numbers can accommodate the well-known rules of the GIM theory of charm particles. We also try to evaluate the branching ratios for several modes of the weak decay of charm mesons using our symmetry scheme. Unlike the results obtained by using the GIM theory, which often require complicated additional assumptions, our theory generates straightforward explanations of the branching ratios obtained in recent experiments. We apply our scheme of symmetry to the problems of the upsilon family, bottom mesons and excited baryons.
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