Statistical compound-nucleus contributions to enhanced back-angle cross sections for ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ + ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ elastic scattering and for inelastic scattering to the channels, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($3^{+}$, 2.18 MeV) + ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(g.s.) and ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(g.s.) + ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($2^{+}$, 4.44 MeV), are studied. Differential cross sections and vector analyzing powers in the range ${\mathrm{\Theta }}_{\mathrm{c}.\mathrm{m}.\mathrm{}}$≊130°–165° have been measured at ${\mathit{E}}_{\mathrm{c}.\mathrm{m}.\mathrm{}}$ = 20 MeV by detecting recoil ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$ nuclei from ${}_{}{}^6{}_{}{}^{}\to$ elastic scattering and inelastic scattering to the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$($3^{+}$, 2.18 MeV) state. Adding a statistical compound-nucleus contribution is shown in general to reduce the magnitude, and to leave unaffected the sign, of theoretical calculations of vector analyzing powers. Analysis, including Hauser-Feshbach calculations, of the above data along with previous data indicates that compound-nucleus contributions are unimportant in the elastic and inelastic ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$(2.18 MeV) scattering channels, and are insufficient to resolve discrepancies between current coupled-channels calculations and large-angle data for inelastic ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(4.44 MeV) scattering. © 1996 The American Physical Society.

• Received 21 May 1996

DOI:https://doi.org/10.1103/PhysRevC.54.3273