Optical model plus resonance analysis ofC12+12C elastic scattering

Elastic scattering excitation functions for the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ ${+}^{12}$C system have been measured at 12 selected center of mass angles between 30.0° and 90.0° over the center of mass energy range 17.5 to 21.5 MeV in 100 keV steps. The elastic scattering excitation function data have been analyzed with an optical model plus multilevel resonance calculation. The extracted spins for the intermediate structure resonances at 18.3 and 19.2 MeV are ${12}^{+}$ and ${12}^{+}$. The structure at 20.2 MeV is due to at least two levels which we have assigned spins of ${12}^{+}$ and ${14}^{+}$.