Relative importance of neutron and proton components of nuclear transitions and comparative $\frac{{\pi }^{-}}{{\pi }^{+}}$ inelastic scattering

Shell-model calculations for ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$ yield predictions of strong state dependence of the isovector component of nuclear transition strengths, with results for ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$ being consistent with recent measurements of $\frac{{\pi }^{-}}{{\pi }^{+}}$ inelastic scattering ratios.

NUCLEAR STRUCTURE ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$; calculated neutron and proton components of inelastic scattering excitations; estimates of $\frac{{\pi }^{-}}{{\pi }^{+}}$ cross section ratios; shell model.