The usefulness of analyzing resonance excitation function data with a general relation is discussed and demonstrated. Inelastic scattering data over the 9.14 MeV anomaly in ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}+$ proton is consistent with a doublet with equal or nearly equal resonance energies for the two levels. A relation describing the energy dependence of experimental quantities which involve the ratio of resonating cross sections is derived and applied to the case of spin-flip probabilities in inelastic scattering.

NUCLEAR REACTIONS ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}(p,p^{\prime })$, $E=8\mathrm{}-8.3, 8.9-9.4$; measured $\sigma \mathrm{}\left(\mathrm{Ep}\right)\mathrm{}$ and spin-flip probability; applied general resonance theory.

• Received 11 August 1975

DOI:https://doi.org/10.1103/PhysRevC.13.473