${}_{}{}^{90,92,94}{}_{}{}^{}\mathrm{Zr}(p, p^{\prime })$ Reactions at 12.7 MeV

The elastic and inelastic scattering of 12.7-MeV protons from ${}_{}{}^{90,92,94}{}_{}{}^{}\mathrm{Zr}$ has been studied. Angular distributions for the elastic and 40 inelastic groups were measured. An optical-model analysis of the elastic scattering was performed. The inelastic scattering was interpreted, using the usual "collective"-model interaction and the distorted-wave approximation. Multipolarities $L$ were assigned where possible, and strength parameters ${\beta }_L$ were deduced. The inelastic scattering to some states was also compared with the predictions of the shell model, using a simple two-body interaction of Yukawa type and including the effects of core polarization. Reasonable agreement was obtained, although the angular distributions for the $0^{+}$ and $3^{-}$ excitations imply that a more sophisticated effective interaction is required.