Resonant behavior of theMg24(O16,C12)Si28* (6.4≤Ex≤10MeV) reaction

Excitation functions have been measured for the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ reaction populating states in ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ with $6.4\le E_x\le 10$ MeV over the energy range $24\le E_{\mathrm{c}.\mathrm{m}.\mathrm{}}\le 36$ MeV. At each incident beam energy, cross sections were measured at three angles over the range $17°\le {\theta }_{\mathrm{c}.\mathrm{m}.\mathrm{}}\le 21°$. More complete angular distributions with $10°\le {\theta }_{\mathrm{c}.\mathrm{m}.\mathrm{}}\le 50°$ were measured at $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=30.5\mathrm{} \mathrm{and} 32.6$ MeV. Resonance-like structures are observed in the excitation functions and strongly correlate with those seen previously at forward angles for the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$(g.s.) transition. Estimates are made for the partial decay widths of the resonance at $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=30.8\mathrm{}$ MeV to the excited states in ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$. Using different background assumptions, between 5% and 40% of the total width of this resonance can be atrributed to ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$* ($E_x<10\mathrm{}$ MeV) decays.