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本文从分析实验出发,对SU3羣八重态理论提出了两个补充假定:(1)同位旋T和超荷Y对质量分裂的非线性贡献与多重态的自旋宇称无关;(2)对所有一维表示与八维表示相混的情形,九个粒子构成一个可约的九维表示,用有迹的3×3矩阵代表。该矩阵的阵迹在质量公式零级项和粒子产生及衰变相互作用中都不出现。在这两假定基础上,进一步讨论了强相互作用粒子的分类,特别是标量介子和具有较高自旋超子共振态的分类,得到了某些预言,并和实验作了比较。较详细地讨论了对标量介子的预言,所得结果与实验符合。最后对分类的结果进行了讨论。Two additional postulates of the eightfold way are suggested on the basis of the analysis of experiments: (1) The nonlinear contribution of the isospin T and the hyper-charge Y to the mass-splitting is independent of the spin-parity of multiplets; (2) In all cases where the octet-singlet mixing takes place, nine particles are grouped into a reducible nine-dimensional representation and are represented by a 3×3 matrix. The trace of this matrix appears neither in the zeroth order term of the mass relation nor in the production and decay interactions of particles. On the basis of these postulates, the classification of the strongly interacting particles, especially the classification of the scalar mesons and the baryon resonances with higher spins, is further discussed. Some predictions are obtained and compared with experiments. The predictions of scalar mesons are discussed in detail and are compatible with experiments. Finally, the results and the implications of the classification are discussed.
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