Fluctuations inC12(O16, α)Mg24andC12(O16,Beg.s.8)Ne20reactions

A statistical model analysis has been performed on the excitation functions for ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}({}_{}{}^{16}{}_{}{}^{}\mathrm{O}, \alpha ){}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ ($0^{+}$, g.s.; $2^{+}$, 1.37; $4^{+}$, 4.12 +; $2^{+}$, 4.24; $3^{+}$, 5.24 MeV) from $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=13.17\mathrm{}$ to $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=23.09\mathrm{}$ MeV at ${\theta }_L=35\mathrm{}°$ and for ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^8{}_{}{}^{}\mathrm{Be}_{\mathrm{g}.\mathrm{s}.\mathrm{}}^{}{}_{}{}^{}$)${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ ($0^{+}$, g.s.; $2^{+}$, 1.63; $4^{+}$, 4.25 MeV) from $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=14.07\mathrm{}$ to $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=23.09\mathrm{}$ MeV (for $0^{+}$, g.s.), $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=14.46\mathrm{}$ to $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=23.09\mathrm{}$ MeV (for $2^{+}$, 1.63 MeV), $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=16.65\mathrm{}$ to $E_{\mathrm{c}.\mathrm{m}.\mathrm{}}=23.09\mathrm{}$ MeV (for $4^{+}$, 4.25 MeV) at ${\theta }_L=32.5\mathrm{}°$. The number of effective channels was calculated exactly. The theoretical and experimental distributions of the cross sections agree reasonably well and indicate that the fluctuating component of the experimental cross sections is consistent with statistical model predictions for these quantities.