EIGHTFOLD WAY AND WEAK INTERACTIONS
Abstract
The octet model is generalized in a way permitting to include the weak interactions. It turns out that the more simple solution - but not the only one of course - is an eight-fold way based on the orthogonal group in an eight-dimensional space SO(8). The mathematical structure of the inclusion between the algebra of the unitary group and the algebra of the orthogonal group is studied. The reduction under unitary transformation of the irreducible representations of the orthogonal group is examined and it can be shown that the orthogonal SO(8) group can generalize the octet model but not the triplet model. Moreover, the adjoint representation contains the weak currents and one can try to extend the octet model in this way. Finally, one constructs explicitly the model and gives a systematic classification of the weak currents with respect to the quantum numbers of the strong interactions.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0414848
Entities
People
- Michel Gourdin
Organizations
- École Normale Supérieure