Existing measurements of the angular distributions of the ground-state to ground-state transitions of the ${}^{12}\mathrm{C}\left(d,p\right){}^{13}\mathrm{C}$ and ${}^{13}\mathrm{C}\left(p,d\right){}^{12}\mathrm{C}$ neutron-transfer reactions have been analyzed systematically using the Johnson-Soper adiabatic and distorted-wave theories. When using a consistent set of physical inputs the deduced spectroscopic factors are consistent to within $15\%$ for incident deuteron energies from 12 to $60\mathrm{MeV}$. By contrast, original analyses of many of these data quoted spectroscopic factors that differed by up to a factor of 5. The present analysis provides an important reference point from which to assess the requirements of future spectroscopic analyses of transfer reactions measured in inverse kinematics using rare nuclei.

• Received 21 April 2004

DOI:https://doi.org/10.1103/PhysRevC.69.064313