Some Simple Bootstrap Models
The idea of bootstrap as a possible mechanism underlying the dynamics of strong interactions arose in the early work of Chew and Mandelstam1 on π-π scattering, over five years ago. Since then, a large number of bootstrap calculations have been made for different kinds of systems by using a variety of approximations.† These have made it plausible that bootstraps may provide the basic mechanism for binding the large number of hadrons we know today, and that approximations based on nearby singularities and a suitable parametrization of short-range effects—cutoffs, Balázs poles etc.— are reasonably adequate for many purposes. We shall discuss a class of simple models based on these ideas. We do not expect these to give quantitative results for masses of particles, which appear to depend on the details of the short range forces. So in these models we shall not mention any predictions about the masses. On the other hand, the information they furnish on multiplet structure, particle spectra, and relative couplings is expected to be more reliable, and we shall concentrate on these aspects.
KeywordsBaryon Octet Bootstrap Condition Axial Vector Meson Meson Octet Nucleon Isobar
Unable to display preview. Download preview PDF.