Consequences ofSU(3)′′Excitation in Baryon Resonances

The $\mathrm{SU}\left(18\right)\mathrm{}$ mass formula given earlier for the $s^3$-configuration baryons in the three-triplet model is derived. Selection rules for allowed decays of $\mathrm{SU}{\mathrm{}\left(3\right)\mathrm{}}^{\prime \prime }$-excited baryon resonances are given using a new classification of mesons: among other selection rules, $N\left(1466\right)\mathrm{}\to \Delta \pi \left(N\pi \pi \right)$, $\nrightarrow N\pi$; and $Z_1\mathrm{}\left(1910\right)\mathrm{}\to \Delta K\left(N\pi K\right)$, $\nrightarrow \mathrm{NK}$, in the (no-mixing) approximation, where ${C_2}^{\mathrm{}\left(3\right)\mathrm{}\prime }$ and ${C_2}^{\mathrm{}\left(3\right)\mathrm{}\prime \prime }$ are good quantum numbers. The $s^3$, $J^P={\frac{1}{2}}^{+}$ resonances such as $N\left(1466\right)\mathrm{}$ and $N\left(1751\right)\mathrm{}$ should be produced with even sharper forward peaking than the corresponding elastic process. The $N\left(1466\right)\mathrm{}$ resonance should not be electro- or photoproduced, in contrast to the $N\left(1751\right)\mathrm{}$ resonance, which should be produced electromagnetically. Experiments to detect exotic resonances are suggested. The present limits on backward $K^{-}p$ elastic scattering are compatible with $u$-channel exchange of $Z_1\mathrm{}\left(1910\right)\mathrm{}$. A complete table of mass predictions for $s^3$-configuration baryon resonances is given.