The ${}^{16}\mathrm{O}{(}^{16}\mathrm{O}{,}^{12}{\mathrm{C}}^{16}\mathrm{O})\alpha$ reaction has been studied at incident energies of 90 and 97 MeV. States in ${}^{28}\mathrm{Si}$ are reconstructed over the excitation energy range 22–45 MeV, and the spins of six states, ranging from $9^{-}$ to ${17}^{-},$ were obtained from angular correlation measurements. A comparison of these breakup states with scattering resonances indicates that some of the breakup states lie below the locus of the ${}^{12}\mathrm{C}{+}^{16}\mathrm{O}$ scattering resonances, and may belong to a highly deformed band with a rotational parameter of $(42\mathrm{}\pm 5)\hspace{0.5em}\mathrm{keV}$ and a bandhead energy of $E_x=(26.3\mathrm{}\pm 0.9)\hspace{0.5em}\mathrm{}\mathrm{MeV}.$

• Received 14 August 2000

DOI:https://doi.org/10.1103/PhysRevC.63.034315