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Tammaru, Ivo (1967-05-26) An investigation of spontaneous breakdown of SU(3) symmetry in the system of pseudoscalar meson and baryon octets. http://resolver.caltech.edu/CaltechETD:etd-10042002-142703


Type of Document Dissertation
Author Tammaru, Ivo
URN etd-10042002-142703
Persistent URL http://resolver.caltech.edu/CaltechETD:etd-10042002-142703
Title An investigation of spontaneous breakdown of SU(3) symmetry in the system of pseudoscalar meson and baryon octets
Degree PhD
Option Physics
Advisory Committee
Advisor Name Title
unknown Committee Member
Keywords
  • none
Date of Defense 1967-05-26
Availability unrestricted
Abstract
NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document.

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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