Differential cross sections for ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ ($\pi$,${\pi }^{\prime }$) were measured between 100 and 300 MeV for momentum transfers of $1.1\hslash$ ${\mathrm{fm}}^{-1\mathrm{}}$ and $1.4\hslash$ ${\mathrm{fm}}^{-1\mathrm{}}$. In this energy range the different energy dependences of the spin-dependent and spin-independent parts of the pion-nucleon interaction provide a very sensitive method of discriminating between transitions that proceed with a spin transfer ($\Delta S=1\mathrm{}$) or without a spin transfer ($\Delta S=0\mathrm{}$). Five transitions in ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ were found to be dominated by the $\Delta S=1\mathrm{}$ transition density amplitude.

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