Abstract
We have studied the representations of a non-compact form widetilde{ SU } 3 of SU 3 , with emphasis on the unitary ones. Some of the representations, though infinite dimensional, appear to be eminently suitable for describing elementary particle multiplets. For baryons the only new particle of strangeness larger than—3 that is predicted is one with strangeness—2 and isotopic spin 3/2. The most important companion to the ‘decuplet ’ resonance is a Y* 2 . It seems likely that many theoretical predictions of SU 3 are carried over to widetilde{ SU } 3 .
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Schedule a callMore From: Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
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