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.

• Received 17 November 1986

DOI:https://doi.org/10.1103/PhysRevC.35.1388