Minimal Bootstrap in MesonBaryon Systems
Abstract
We consider twoparticle scattering systems for which the crossing matrices give a good estimate of the nature of forces. We define a bootstrap state to be an eigenvector of the total crossing matrix. It is shown that bootstrap schemes are generally not unique. We conjecture that the physical particles manifest themselves in a state of minimal bootstrap, that is, a scheme involving the participation of the least number of particles. By studying mesonbaryon scattering in the SU(2) and SU(3) symmetries, we find substantial evidence in support of this conjecture. The results are not only that the minimal boostrap vectors accommodate the observed particles in the usual way, but also that the ratio of the coupling strengths of particles in different representations and the mixing parameter (DF ratio) of the Yukawatype octet coupling both turn out to agree with experiments.
 Publication:

Physical Review
 Pub Date:
 May 1965
 DOI:
 10.1103/PhysRev.138.B933
 Bibcode:
 1965PhRv..138..933H