Differential cross sections for inelastic pion scattering from ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$ measured at $T_{\pi }$=164 MeV, for the $2_1^{+}$ and $2_2^{+}$ states and an unresolved peak at 10.4 MeV, were analyzed by distorted-wave impulse approximation and coupled-channel calculations using transition densities derived from large scale shell model calculations. The pion and B(E2) data showed strong quenching of the isovector component for the $2_1^{+}$ transition, which required different effective charges for the p and sd shells. The pion data for the $2_2^{+}$ are an order of magnitude smaller than for the $2_1^{+}$ state, and this was understood in terms of strong cancellations between the neutron and proton transition amplitudes. This transition was found to be very sensitive to details of the calculations. The 10.4 MeV data were consistent with the excitation of a $3^{\mathrm{-}}$ state.

• Received 16 December 1987

DOI:https://doi.org/10.1103/PhysRevC.37.1554