Dynamical Model of the Σ

Citation

Kayser, Boris Jules (1964) Dynamical Model of the Σ. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3RMV-0755. https://resolver.caltech.edu/CaltechETD:etd-09232002-105204

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. In the spirit of the bootstrap hypothesis, a dynamical model is developed for the [sigma] hyperon, taking into account the [...] and [...] channels. Born amplitudes for the exchange of [...] (1385 Mev), [...] (1405 Mev), and [...] form the inputs to dynamical calculations which utilize an extension of the matrix ND-[superscript 1] method. The properties of all particles other than the [sigma] are taken from experiment, or, where they are experimentally uncertain, estimated on the basis of current theoretical ideas and then varied in the calculations. The cutoff which governs the damping of the input amplitudes at high energies is also varied. It is found that quite a few combinations of the experimental unknowns and the cutoff do lead to a self-consistent [...] bound state, identified as the [sigma], with reasonable values for the mass [...] and couplings [....] and [...]. These results favor the conjecture that the [sigma] is a composite particle.

Thesis Files