Study of theSc45(α,t)Ti46Reaction at 41 MeV

Thirteen angular distributions have been measured from 8° to 70° for the ${\mathrm{Sc}}^{45}(\alpha ,t){\mathrm{Ti}}^{46}$ reaction at 41 MeV. Very selective population of the states of ${\mathrm{Ti}}^{46}$ was observed, and the populated states correlate well with states of the ${\mathrm{Sc}}^{45}({\mathrm{He}}^3,d){\mathrm{Ti}}^{46}$ reaction which have large $l_p=3\mathrm{}$ spectroscopic strengths. The angular distributions have little structure and exhibit the same basic shape. The distorted-wave Born-approximation (DWBA) noncutoff calculations for the stripping of an $l_p=3\mathrm{}$ proton provides an adequate description of the angular distributions. The relative spectroscopic strengths extracted from the DWBA analysis agree favorably with those deduced from a similar study of the ${\mathrm{Sc}}^{45}({\mathrm{He}}^3,d){\mathrm{Ti}}^{46}$ reaction. Theoretical spectroscopic strengths calculated from the McCullen-Bayman-Zamick single-particle wave functions for the ground state of ${\mathrm{Sc}}^{45}$ and five low-lying states of ${\mathrm{Ti}}^{46}$ are in reasonable agreement with experiment.