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

• Main Author: Tammaru, Ivo
• Format: Others
• Published: 1967
• Online Access: https://thesis.library.caltech.edu/3897/1/Tammaru_i_1967.pdf; 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. doi:10.7907/TNQC-G354. https://resolver.caltech.edu/CaltechETD:etd-10042002-142703 <https://resolver.caltech.edu/CaltechETD:etd-10042002-142703>

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.