Prog. Theor. Phys. Vol. 35 No. 5 (1966) pp. 840-857
Broken Symmetry and the Stability of Particle-like States
Department of Physics, University of Tokyo, Tokyo
(Received December 13, 1965)
The relation between broken symmetry and the stability of particle-like states (bound states and resonance states) is discussed through a simple soluble model. It is shown that the formalism on the physical sheet succeeds in realizing all the properties of the multi-channel problem with broken symmetry which are expected from physical insight: First, the components of a composite system with some multiplicity in the symmetrical world correspond to the ones in the physical world. Secondly, there exists a critical value of the strength of the symmetry violating interaction such that some members of a multiplet, which is a bound state (a resonance state) in the symmetrical world, become resonance states (bound states). Further, the ratios between the mass differences relative to a standard component depend on the strength on the symmetry violating interaction. The behavior of the complex poles in the formalism on the Riemann sheets is also analyzed, and the peculiar results given by the formalism are disclosed.
DOI : 10.1143/PTP.35.840
- See also T. Okabayashi, Prog. Theor. Phys. 34 (1965), 1023[PTP].
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