An angular correlation analysis of the breakup fragments from the ${}^{12}\mathrm{C}{(}^{24}\mathrm{Mg}{,}^{12}\mathrm{C}{}^{16}\mathrm{O}{)}^8\mathrm{Be}$ and ${}^{12}\mathrm{C}{(}^{24}\mathrm{Mg}{,}^{12}\mathrm{C}{}^{12}\mathrm{C}{)}^{12}\mathrm{C}$ reactions is presented. For the ${}^{12}\mathrm{C}{+}^{16}\mathrm{O}$ breakup of ${}^{28}\mathrm{Si},$ spins of ${13}^{-},$ $8^{+}{(10\mathrm{}}^{+}),$ and ${\mathrm{}(12,14)\mathrm{}}^{+}$ are assigned to states at excitation energies of 28.0, 33.4, and 34.5 MeV, respectively. The results are compared to the resonances observed in ${}^{12}\mathrm{C}{+}^{16}\mathrm{O}$ scattering studies and to the predictions of nuclear models. For the ${}^{12}\mathrm{C}{+}^{12}\mathrm{C}$ breakup of ${}^{24}\mathrm{Mg},$ previous spin assignments are verified and new assignments of ${(2\mathrm{}}^{+}),$ $6^{+}{(8\mathrm{}}^{+}),$ ${(6\mathrm{}}^{+}),$ and $8^{+}$ are proposed for states at 20.5, 23.8, 25.1, and 26.4 MeV, respectively.

• Received 23 June 2000

DOI:https://doi.org/10.1103/PhysRevC.63.034311