Mass splitting in SU(4)

✍ Scribed by G Feldman; P.T Matthews

• Publisher: Elsevier Science
• Year: 1978
• Tongue: English
• Weight: 877 KB
• Volume: 115
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(78)90173-2

✦ Synopsis

A simple and rather general way to break W( 4) is to assume that the mass operator consists of a term which transforms as a scalar in the subgroup SU(3), (which operates on u, d, and s quarks) and a term which transforms as a scalar in SU( 3), (which operates on u, d, and c). It is shown that this leads to a number of parallelogram laws between the masses. The generalized Okubo assumption falls within this framework and leads directly to Gell-Mann-Okubo relations between multiplets in the two subgroups. The specific SU(4) assumption of Okubo and others is a still further restriction. This group theoretic approach is compared with the results of the quark model.