Finite range calculations of light-ion two-neutron transfer reactions

A full finite-range distorted-wave Born-approximation formalism is used to calculate the two-neutron transfer reactions ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}(p, t){}_{}{}^{16}{}_{}{}^{}\mathrm{O}(\mathrm{g}.\mathrm{s}.\mathrm{})$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}(t, p){}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}(\mathrm{g}.\mathrm{s}.\mathrm{})$, and ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}(p, t){}_{}{}^{206}{}_{}{}^{}\mathrm{Pb}(\mathrm{g}.\mathrm{s}.\mathrm{})$. It is found that the shape of the differential cross section is well predicted in the forward direction for all nuclei studied, but the normalization is given correctly only for ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$.