Angular distributions have been measured for inelastic scattering of ${}_{}{}^{11}{}_{}{}^{}\mathrm{B}$ + ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ at $E_{\mathrm{lab}}=51.5\mathrm{}$ MeV leading to the first ${1/2}^{-}$ state in ${}_{}{}^{11}{}_{}{}^{}\mathrm{B}$ and the first $2^{+}$, $3^{-}$, and $5^{-}$ states in ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$. Distorted-wave Born approximation calculations reproduce the data quite well and are of quality equal to that of coupled channels calculations. Along with the conventional, deformed Woods-Saxon potential, the analysis employed the double-folding model to fit the inelastic data. The nuclear deformation lengths of the double-folding model agree well with the experimental $B\left(\mathrm{EL}\right)\mathrm{}$ values.

NUCLEAR REACTIONS $E=51.5\mathrm{}$ MeV, inelastic (${}_{}{}^{11}{}_{}{}^{}\mathrm{B}$, ${\mathrm{½}}^{-}$, 2.12 MeV; ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$, $2^{+}$, 3.90 MeV, $3^{-}$, 3.74 MeV, and $5^{-}$, 4.49 MeV). Measured $\sigma \left(\theta \right)$, deduced nuclear deformation lengths. DWBA, CC, double-folding model analysis.

• Received 19 August 1980

DOI:https://doi.org/10.1103/PhysRevC.23.236