Mass splitting in SU(4)

Journal Article · Fri Sep 15 04:00:00 EDT 1978 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(78)90173-2· OSTI ID:6361505

Feldman, G; Matthews, P T

A simple and rather general way to break SU(4) is to assume that the mass operator consists of a term which transforms as a scalar in the subgroup SU(3)/sub c/ (which operates on u,d,and s quarks) and a term which transforms as a scalar in SU(3)/sub s/ (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.

• Research Organization: International Centre for Theoretical Physics, Trieste, Italy
• OSTI ID: 6361505
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 115:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645301* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- General-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPOSITE MODELS
LIE GROUPS
MASS DIFFERENCE
MASS FORMULAE
MATHEMATICAL MODELS
MULTIPLETS
OKUBO MASS FORMULA
PARTICLE MODELS
PARTICLE MULTIPLETS
PARTICLE PROPERTIES
QUARK MODEL
SU GROUPS
SU-3 GROUPS
SU-4 GROUPS
SYMMETRY GROUPS