An investigation of spontaneous breakdown of SU(3) symmetry in the system of pseudoscalar meson and baryon octets

Citation

Tammaru, Ivo (1967) An investigation of spontaneous breakdown of SU(3) symmetry in the system of pseudoscalar meson and baryon octets. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-10042002-142703

Abstract

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The system of pseudoscalar meson and baryon octets is examined for spontaneous breakdown of SU(3) symmetry in a bootstrap theory with vanishing renormalization constants. The latter are calculated in second order perturbation theory; the splittings are taken to retain SU(2) symmetry and are included to first order only. The equations are diagonalized in the dimension of the representations.

The F-D mixing parameter [alpha] is found to have the value 3/4. The system shows great instability in the [...] representation, and two solutions exist for not unreasonable values of the coupling constant and the meson-baryon mass ratio; one of the solutions has the observed relative signs for the mass splittings and exhibits a coupling splitting pattern found by other workers. A solution exists in the [...] representation with a coupling constant squared which is two orders of magnitude too large.

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