The ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ reaction has been studied over the energy range $26.3<\mathrm{}{E}_{\mathrm{c}.\mathrm{m}.\mathrm{}}<32.4\mathrm{}$ MeV. Angular distributions with $4.5°\le {\theta }_{\mathrm{c}.\mathrm{m}.\mathrm{}}\le 50°$ were measured at nine different energies in this range and an excitation function was measured over a wider range at ${\theta }_{\mathrm{c}.\mathrm{m}.\mathrm{}}\approx 90°$. The results of the present measurements, together with previously measured excitation functions at 0° and 180°, are analyzed within the framework of two resonances, at 27.6 and 30.8 MeV, added to a direct reaction background. Probable spin assignments for the two resonances are $J=20\mathrm{}$ (27.6 MeV) and $J=23\mathrm{}$ (30.8 MeV).

NUCLEAR REACTIONS ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ (g.s.); measured $\sigma (E,\theta )$; resonance analysis; deduced spins, reduced widths.

• Received 29 October 1979

DOI:https://doi.org/10.1103/PhysRevC.21.1810