Two Studies of Dynamical Calculations in Two Meson Systems

Citation

Beder, Douglas Stanley (1965) Two Studies of Dynamical Calculations in Two Meson Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/K3FF-P112. https://resolver.caltech.edu/CaltechETD:etd-03242003-091021

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. This thesis describes dynamical calculations in dispersion theory relating to meson states. The first part discusses the bound state pseudoscalar mesons, utilizing a pole model representation of the binding forces. In the one-channel pseudoscalar vector calculation, and in a calculation coupling this to the baryon-antibaryon channel, fairly modest forces suffice to produce a tightly bound state. However, the output coupling constants are much larger than those fed into the calculation, so that bootstrap self consistency is not attained. It is also interesting that the baryon-antibaryon channel seems to be a very significant contributor to the dynamical generation of bound state pseudoscalar mesons. The second part of this work considers electromagnetic mass splittings of mesons. In a dynamical scheme for generating the mesons, mass splittings of the derived multiplets arise both because of mass splittings of the particles participating in the relevant scattering channels, and, because of photon exchanges. A crude inelastic bootstrap calculation of the [rho] vector meson is developed and then subject to electromagnetic perturbations. As a corresponding pseudoscalar meson bootstrap is not available, we can only relate pseudoscalar and vector mass differences here. A rough estimate which results for the [rho] meson is M[...] - M[...] 11 MeV. A yet cruder estimate of the K*(885) mass difference is MK[...] - MK[...][...] 5 MeV.

Thesis Files