Normalization and finite-range effects in distorted-wave Born-approximation calculations for (d,He3) and (d,t) reactions

Exact finite-range distorted-wave Born-approximation calculations have been carried out for ($d,{}_{}{}^3{}_{}{}^{}\mathrm{He}$) and ($d,t$) reactions at incident energies up to 80 MeV. It is found that the local energy approximation does not correctly reproduce the energy variation of exact calculations for ${}_{}{}^{51}{}_{}{}^{}\mathrm{V}(d,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}(\mathrm{g}.\mathrm{s}.\mathrm{})$ between 30 and 80 MeV and, in addition, overestimates finite-range effects for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}(d,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{15}{}_{}{}^{}\mathrm{N}(\mathrm{g}.\mathrm{s}.\mathrm{})$ at 80 MeV. The effects of various choices for the range function for ($d,t$) and ($d,{}_{}{}^3{}_{}{}^{}\mathrm{He}$) reactions are discussed. Some new values for the zero range normalization constant are discussed.