Elastic and Inelastic Scattering of 20.3-MeV Polarized Protons fromZr90,Zr92, andMo92

The elastic and inelastic scattering of polarized protons from ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$, ${}_{}{}^{92}{}_{}{}^{}\mathrm{Zr}$, and ${}_{}{}^{92}{}_{}{}^{}\mathrm{Mo}$ has been studied at 20.3 MeV. Asymmetries for the first $2^{+}$ states in ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$ and ${}_{}{}^{92}{}_{}{}^{}\mathrm{Mo}$ are very similar; the ${}_{}{}^{92}{}_{}{}^{}\mathrm{Zr}$ $2^{+}$ asymmetry is quite different from these, especially at large angles. The asymmetry for the first $3^{-}$ state in ${}_{}{}^{92}{}_{}{}^{}\mathrm{Zr}$ resembles the ${}_{}{}^{90}{}_{}{}^{}\mathrm{Zr}$-${}_{}{}^{92}{}_{}{}^{}\mathrm{Mo}$ $3^{-}$ data more closely. Microscopic-model calculations for the $2^{+}$ states with and without core-polarization contributions give poor fits to the asymmetry data, though cross sections are well fitted. Macroscopic-model calculations with the full Thomas form of the deformed spin-orbit potential give a better fit to the $2^{+}$ data and quite closely predict the $3^{-}$ asymmetries.