A complete set of analyzing powers (AP’s), ${\mathit{iT}}_{11}$, ${\mathit{T}}_{20}$, ${\mathit{T}}_{21}$, and ${\mathit{T}}_{22}$, for 50 MeV ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$${(}^6$Li→${,}^6$Li) elastic scattering and inelastic scattering to the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($2^{+}$, 4.44 MeV), ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($0^{+}$, 7.65 MeV), and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($3^{\mathrm{-}}$, 9.64 MeV) states over the center-of-mass (c.m.) angular range 10°–115° is reported. In addition, cross sections for the excited states $3^{+}$(2.18 MeV), $2^{+}$(4.31 MeV), and $1^{+}$(5.65 MeV) of ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ were measured by using the inverse-kinematics reaction ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$${(}^{12}$C${,}^{12}$C) at 100 MeV. A combined analysis of the new 50 MeV data and previous 30 MeV data has been carried out using the coupled-channels (CC) code FRESCO. Comparison of FRESCO calculations with those using the CC code CHUCK are presented. The CC calculations use an optical potential with double-folded (DF) real central, Woods-Saxon imaginary central, and Thomas real spin-orbit (SO) potentials. Calculations include reorientation terms and coupling to the first three excited states of ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ and the first two nonzerospin states of ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$. The ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ coupling strengths were fixed by the measured ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ excited-state cross sections. The elastic-scattering cross sections and A.P.’s are described well. The need for an explicit SO potential is apparent in the elastic and inelastic-scattering AP’s ${\mathit{iT}}_{11}$, more so at 30 MeV than at 50 MeV. The rank-2 AP’s up to 50° c.m. arise mainly from ground-state reorientation effects. The DF potential normalization constant N approaches unity for the 50 MeV data. At both energies, the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($2^{+}$) cross sections are underestimated at large angles, and the description of the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($3^{\mathrm{-}}$) cross sections is poor in detail. The ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($3^{\mathrm{-}}$) AP’s and the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$($2^{+}$) ${\mathit{iT}}_{11}$ are not reproduced at either energy. © 1996 The American Physical Society.

• Received 1 April 1996

DOI:https://doi.org/10.1103/PhysRevC.54.1267