Cross-section measurements are reported for the ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$(${\pi }^{+}$,${\pi }^{\mathrm{-}}$${)}^{14}$O reaction to the double isobaric analog state and for nonanalog states at 5 to 10 MeV excitation. The extrapolated zero-degree cross sections are 2.3±0.5, 3.7±0.4, 2.2±0.3, and 0.9±0.3 μb/sr at 19.0, 29.1, 64.4, and 79.5 MeV, respectively. The nonanalog-state cross sections are found to rise sharply with increasing beam energy above 50 MeV, in contrast to those of the double isobaric analog state transition. Calculations with a phenomenological isospin-dependent optical potential must include an isotensor term, which accounts for transitions through nonanalog intermediate states or other short-range correlations, in order to describe the energy and angular trends of the data. Microscopic calculations in the second-order distorted-wave impulse approximation fail to reproduce the cross sections near 50 MeV unless the effects of short-range correlations beyond those contained in the model are incorporated.

• Received 19 December 1988

DOI:https://doi.org/10.1103/PhysRevC.39.2356