| SU4群与基本粒子的对称性 |
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| 引用本文： | 叶芃生. SU4群与基本粒子的对称性[J]. 物理学报, 1966, 22(2): 163-173 |
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| 作者姓名： | 叶芃生 |
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| 作者单位： | 复旦大学 |
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| 摘 要： | 从李羣的一般理论,具体地讨论了SU4的数学处理,给出了羣的代数结构、不可约表示维数的公式、三个基本表示的明显形式及表示直积分解的主要结果。根据SU4对称,下列基本粒子的对称模型被构成:(1)Bacry和Van Hove模型,(2)Schwinger模型,(3)正反粒子对称的坂田模型,(4)正反粒子对称的八度法模型。在这些模型中,一些与实验一致的新的结果被得到。
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| 收稿时间： | 1964-08-03 |
THE GROUP SU4 AND SYMMETRY OF THE ELEMENTARY PARTICLES |
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| YEH PENG-SHENG. THE GROUP SU4 AND SYMMETRY OF THE ELEMENTARY PARTICLES[J]. Acta Physica Sinica, 1966, 22(2): 163-173 |
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| Authors: | YEH PENG-SHENG |
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| Abstract: | In this paper, using the general theory of the Lie groups we concretely discussed the mathematical treatments of the group SU4. The algebra structure of the group SU4, the formula for the dimensions of the irreducible representation, the explicit form of the three elementary representations, and the reduction of direct products of representations arc given. The following symmetry models of the elementary particles based on the group SU4 are built: (1) the model of Baery-Van Hove, (2) the model of Schwinger, (3) the model of Sakata with particle and anti-particle symmetry, (4) the octet model with particle and anti-particle symmetry. In these models some new consequences consistent with the experiments are obtained. |
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