Spin-Parity-32−Baryons and Singlet-Octet Mixing

Abstract

Recent experimental data are used to examine the effects of possible $\mathrm{SU}\left(3\right)\mathrm{}$ mixing among the spin-parity-${\frac{3}{2}}^{-}$ baryons. It is found that the mixing model is a quite reasonable one to account for the various decay widths of the members. With a mixing angle $\theta =22.5\mathrm{}°$, the following optimum values of the parameters are obtained: $\frac{F}{D}\approx 1.1$, the ratio of the coupling of {8}⊗{8} to {1} and {8} ⊗{8} to {8} ≈ 2.5, and inverse interaction radius $X\approx 1000$ MeV. Predicted decay widths of the members are also presented.