O16+Ca40Inelastic Scattering and Direct-Reaction Calculations in Heavy-Ion Scattering

Inelastic scattering to the lowest $2^{+}$, $3^{-}$, and $5^{-}$ states in ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ was studied for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ + ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ at $E_{\mathrm{lab}}\left({}_{}{}^{16}{}_{}{}^{}\mathrm{O}\right)=60\mathrm{}$ MeV. The angular distributions are compared to distorted-wave and coupled-channel Born-approximation predictions. The results show that the effect of the $3^{-}$ inelastic excitation on the elastic scattering wave function has to be treated explicitly in order to reproduce the angular distributions. This is particularly evident for the $5^{-}$ transition, despite the fact that direct coupling between the $3^{-}$ and $5^{-}$ states is negligible.