Finite and Disconnected Subgroups of SU3 and their Application to the Elementary‐Particle Spectrum
Finite and Disconnected Subgroups of SU3 and their Application to the Elementary‐Particle Spectrum
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SU3 的有限和不连通子群及其在基本粒子谱中的应用
DOI：
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发表时间：
1964
期刊：
影响因子：
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通讯作者：
W. Klink
中科院分区：
文献类型：
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作者：
W. Fairbairn;T. Fulton;W. Klink
尝试将目前观察到的基本粒子谱的对称性拟合到SU 3的有限或不连通子群的结构中。令人惊讶的是，这些亚组的详细性质以前没有得到阐明。因此，作为第一步，为这些组导出字符表和其他相关属性。其次，基本粒子的分类是在所讨论的群的表示的基础上进行的。以前所采用的技术的情况下，Karplus，和杨的应用程序的有限子群的SU 2同位素自旋扩展到子群的SU 3。SU 3的结构是用来建议如何收费和超荷运营商被分配在子群。所得结果与SU ~ 2和同位素自旋的结果相似。对于任何给定的群，不可约表示的维数都有上限。对于所考虑的一些组，这些上限是8甚至10。存在有限…
An attempt is made to fit the symmetries of the currently observed elementary‐particle spectrum into the structure of finite or disconnected subgroups of SU3. Surprisingly, the detailed properties of these subgroups have not been elucidated previously. As a first step, therefore, character tables and other relevant properties are derived for these groups. Next, the classification of elementary particles is made on the basis of the representations of the groups discussed. The techniques previously employed by Case, Karplus, and Yang for the application of finite subgroups of SU2 to isotopic spin are extended to the subgroups of SU3. The structure of SU3 is utilized to suggest how charge and hypercharge operators are to be assigned in the subgroups. The results obtained are similar to those of SU2 and isotopic spin. There is an upper limit, for any given group, to the dimension of the irreducible representation. For some of the groups considered, these upper limits are eight and even ten. There exist finite...