Infinite-Component Wave Equations and Mass Splittings Within SU(3) and SU(2) Multiplets

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Abstract
Earlier work describing baryon excited states by the group O(4, 2) is extended with particular emphasis on the SU(3) properties. A single irreducible representation of O(4, 2) × SU(3) × SU(3) is used. The postulates of the theory of infinite-component wave equations are contrasted and compared with those leading to the Okubo and isospin mass-splitting formulas. Tables and curves are presented for mass formulas, mass splittings, and magnetic moments, which are in agreement with experiment.

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