Effective octonionic supersymmetry in hadronic physics

Thesis/Dissertation · Tue Jan 01 04:00:00 EST 1985

OSTI ID:7244106

Catto, S M

In this thesis the author shows how one can build an algebraic effective hadronic supersymmetry resulting into the parallelism of mesonic and baryonic Regge trajectories. Miyazawa's supersymmetric generalization of the approximate SU(6) symmetry of hadrons, namely U(6/21) is shown to arise within the frame of the standard theory of quarks interacting through gluons. The symmetry is found to hold in the same approximation for which SU(6) is a good symmetry provided a diquark structure emerges through an effective string interaction. The author also showed that it is possible to use a spin representation of the Wess-Zumino algebra to write first order relativistic equations for quarks and diquarks that are invariant under supersymmetry transformation. To this end the author developed a formalism for effective supersymmetric equations involving unconstrained chiral superfields. Finally the author discussed the experimental evidence for the existence of pp and ppantiqantiq systems, form factors in deep inelastic lepton-baryon scattering, the deviation of Regge trajectories from the linear form and outline other possible applications to hadronic physics as well as nuclear structure of the formalism he developed.

• Research Organization: Yale Univ., New Haven, CT (USA)
• OSTI ID: 7244106
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
COMPOSITE MODELS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
HADRONS
MATHEMATICAL MODELS
MATHEMATICS
NUCLEAR STRUCTURE
PARTICLE MODELS
POSTULATED PARTICLES
QUARK MODEL
QUARKS
REGGE TRAJECTORIES
STRING MODELS
SUPERSYMMETRY
SYMMETRY