Abstract

The occurrence in nature of very high-spin baryons leads to the suggestion that they can be described as composites of high-spin baryons and mesons with low orbital angular momentum. As a consequence, there appears to be no limit beyond which the baryon spectrum cannot extend. We implement these ideas with a dynamical bootstrap model of positive-parity baryons employing $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}O(3)$ symmetry. We prove the consistency of this symmetry with our dynamics, and predict a spectrum in accord with the latest phase-shift analysis of the pion-nucleon system. We indicate how our model is described in a Regge theory of angular momentum trajectories, and we conclude with a comment on the negative-parity baryon spectrum.

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