Inverse Kinematics Proton Scattering onN18eand Mirror Symmetry inA=18Nuclei

The $0_{\mathrm{g}.\mathrm{s}.\mathrm{}}^{+}\to 2_1^{+}$ transition in ${}^{18}\mathrm{Ne}$ has been studied using the inverse kinematics reaction $p{(}^{18}\mathrm{Ne}{,p}^{\prime })$ with a radioactive ${}^{18}\mathrm{Ne}$ beam at 30 MeV/nucleon. Hadronic scattering data on the $0_{\mathrm{g}.\mathrm{s}.\mathrm{}}^{+}\to 2_1^{+}$ transition in the mirror nucleus ${}^{18}\mathrm{O}$ are already available, so this is the first time that hadronic measurements have been available to test mirror symmetry in $s-d$ shell nuclei. The angular distribution data for proton inelastic scattering in ${}^{18}\mathrm{Ne}$ and corresponding data for ${}^{18}\mathrm{O}$ are well reproduced in microscopic model calculations using empirical proton and neutron transition densities determined for ${}^{18}\mathrm{O}$.