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
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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.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Degree Grantor:||California Institute of Technology|
|Division:||Physics, Mathematics and Astronomy|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||26 May 1967|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||07 Oct 2002|
|Last Modified:||26 Dec 2012 03:03|
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