Extension of the Mass Operator in the Symmetric Quark Model for Negative-Parity Baryon Resonances

The two-body mass operators ${M_{189}}^{8_S\mathrm{L}.\mathrm{S}}$, ${M_{189}}^{8_A\mathrm{L}.\mathrm{S}}$, and three-body mass operators $M_{{35F}^{1^{\mathrm{L}.\mathrm{S}}}}$, $M_{{35D}^{1^{\mathrm{L}.\mathrm{S}}}}$, are considered in fitting the negative-parity baryon resonances in the $\mathrm{SU}\left(6\right)\mathrm{}\times O\left(3\right)\mathrm{}$ multiplet (70, $1^{-}$). The latter operators split the degeneracy of the $\Delta$ resonances in the decuplet. A least-squares fit to the latest experimental data is performed, and the results are in excellent agreement. It is suggested that a search be made for the two ${\Omega }^{-*}$'s.