Final-state interactions in the ¹²C(¹⁶O,¹²C¹²C)α and ¹⁶O(¹⁶O,¹²C¹⁶O)α reactions

The population of excited states in ²⁴Mg and ²⁸Si has been investigated through the reactions ¹²C(¹⁶O,¹²C¹²C)α and ¹⁶O(¹⁶O,¹²C¹⁶O)α, at beam energies of 80.5 and 99 MeV. The heavy-ion fragments from the breakup of the ²⁴Mg and ²⁸Si nuclei were detected in coincidence, permitting a study of both the reaction kinematics and the spins of the fissioning states. These measurements indicate a series of states in ²⁴Mg between 25 and 32 MeV with spins ranging from J=10 to 14 ħ. Evidence was also found for the breakup of ²⁸Si into ¹²C + ¹⁶O from states between 27 and 29 MeV.