Supersymmetry of hadron multiplets. [Baryon number, octet and irreducible representations coupling constants]

Technical Report · Wed Jan 01 04:00:00 EST 1975

OSTI ID:7338732

Hwa, R C; Lam, C S

The supersymmetry algebra of Wess and Zumino was generalized to incorporate explicitly the baryon number operator. Constraints on the algebraic structure due to the finite dimensionality of its representations were determined. In the rest frame where the supersymmetry generator has only two components, it is shown that an irreducible representation cannot have more than three adjacent baryon numbers. The octet representations in the (B,J/sub 3/) space for various SU(3) states are shown to accommodate most of the prominent hadrons. The product representation of two octets has been reduced to an irreducible octet component, and the consequences on the coupling constants were determined. The implication on the couplings among the physical hadrons is discussed.

• Research Organization: Oregon Univ., Eugene (USA); McGill Univ., Montreal, Quebec (Canada). Dept. of Physics
• OSTI ID: 7338732
• Report Number(s): RLO-2041-129
• Country of Publication: United States
• Language: English

Related Subjects

645303* -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
BARYON NUMBER
BOUNDARY CONDITIONS
COORDINATES
COUPLING
COUPLING CONSTANTS
DIMENSIONS
ELEMENTARY PARTICLES
HADRONS
IRREDUCIBLE REPRESENTATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MULTIPLETS
OCTET MODEL
PARTICLE MODELS
PARTICLE MULTIPLETS
SPACE
SYMMETRY