Summary
— The definition of the triality quantum number in both theSU 3 andU 3 groups is investigated in connection with the problem of fractionally charged particles. It is shown that in order to describe a triplet of particles having integral values of charge and hypercharge it is necessary and sufficient to use the group U3 rather than the groupSU 3 . Finally as an application we investigate the possibility that leptons may belong to unitary triplets in weak interactions.
Riassunto
Si studia la deflnizione del numero quantico della trialità nei due gruppi SU3 eU 3 , in relazione al problema delle particelle con carica frazionaria. Si dimostra che allo scopo di descrivere un tripletto di particelle aventi valori interi della carica e dell’ipercarica è necessario e sufficiente usare il gruppo U3 invece del gruppoSU 3 . Infine, come applicazione, si studia la possibilità che i leptoni possano appartenere a tripletti unitari nelle interazioni deboli.
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References
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Okubo, S., Ryan, C. & Marshak, R.E. The triality quantum number inSU 3 andU 3 symmetry and its application to weak interactions. Nuovo Cim 34, 759–767 (1964). https://doi.org/10.1007/BF02750015
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DOI: https://doi.org/10.1007/BF02750015