Baryon Bootstrap Possibilities inSU(6)

Abstract

We discuss the various bootstrap possibilities arising in meson-baryon scattering in $\mathrm{SU}\left(6\right)\mathrm{}$ using the static model. The mesons are taken to belong to the 35-plet of $\mathrm{SU}\left(6\right)\mathrm{}$. It is shown that if one restricts oneself for the baryons to the "eightfold way"-type representations, i.e., to the 20-plet, 56-plet, 70-plet, etc., then the simplest bootstrap possibility for baryons is the self-bootstrap of the 56-plet in the scattering of 56-plet baryons and mesons. No simpler possibility arises when one considers the scattering of a lower dimensional 20-plet of baryons with mesons.