Higher Baryon Resonances in the Static Model

Abstract

The $\frac{N}{D}$ solution to the static model, with linear approximation to the $D$ function, is applied to a sequence of meson-baryon scattering problems. As in the old strong-coupling model, it is found that the $N$ and $\Delta$ are the first two members of a sequence of particles with $I=J=\frac{1}{2}, \frac{3}{2}, \frac{5}{2}, \frac{7}{2}, \cdots$, and that an analogous sequence is obtained when strange particles and SU(3) symmetry are included. In both cases, the $J=\frac{5}{2}$ particle is discussed in some detail. In the SU(2) case, general expressions are also derived for the widths of all the other members the sequence.