Properties of "35" Spin-$\frac{5}{2}$ Baryon Resonances in a Model with Broken $\mathrm{SU}\left(3\right)\mathrm{}$

We investigate the properties of a set of $J={\frac{5}{2}}^{+}$ resonances appearing in a 35-dimensional representation of $\mathrm{SU}\left(3\right)\mathrm{}$, as proposed by Abers, Balázs, and Hara. A simple dynamical calculation gives an estimate for the mass differences within the supermultiplet. The matrix elements for the $\mathrm{SU}\left(3\right)\mathrm{}$ allowed decays into meson plus resonance are given in terms of one parameter and the $\mathrm{SU}\left(3\right)\mathrm{}$-violating matrix elements for decay into meson plus baryon are given by two parameters.