Comparison Between Reactions of Alpha Particles With Scandium-45 and Deuterons with Titanium-47

The excitation functions for the (α, n), (α, 2n), (α, 2p), (α, α^'n)ᵐ, (α, α^'n)ᵍ, and (α, 2pn) reactions of Sc⁴⁵ and the ($d, n$), ($d, 2n$), ($d, 2p$), (d, αn)ᵐ, and (d, αn)ᵍ reactions of Ti⁴⁷ were measured for alpha-particle energies from 15 to 40 MeV and for deuteron energies from 4 to 20 MeV. The alpha-particle excitation functions can be successfully fitted by a calculation based upon compound-nucleus theory; but the calculation is less successful in reproducing the deuteron excitation functions. The divergences between calculation and observation are in a direction that is to be expected from the contribution of deuteron stripping reactions. Despite the indications that the deuteron-induced reactions have substantial noncompound contributions, the ratio of the cross sections for the (α, 2p) and (α, 2n) reactions have the same dependence upon the excitation energy of the compound system as has the corresponding ratio for the ($d, 2p$) and ($d, 2n$) reactions.