Neutron and proton matrix elements for21+transitions inT=1nuclei from pion inelastic scattering

Cross sections have been measured for ${\pi }^{+}$ and ${\pi }^{\mathrm{-}}$ inelastic scattering to the $2_1^{+}$ levels of ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{30}{}_{}{}^{}\mathrm{Si}$, and ${}_{}{}^{34}{}_{}{}^{}\mathrm{S}$. The data are used to infer neutron and proton quadrupole-matrix elements for these transitions. The matrix elements extracted from the pion data are in good agreement with their corresponding electromagnetic matrix elements. These results indicate that the use of the distorted-wave impulse-approximation is a valid procedure for this class of transition.