Theoretical uncertainties of (d, ³ He) and (³ He,d) reactions owing to the uncertainties of optical model potentials

The theoretical uncertainties of single proton transfer cross sections of the (³ He,d) and (d, ³ He) reactions, owing to the uncertainties of the entrance- and exit-channel optical model potentials, are examined with the ³⁰ Si(³ He,d) ³¹ P, ¹³ B(d, ³ He) ¹² Be, and ³⁴ S(³ He,d) ³⁵ Cl reactions at incident energies of 25, 46, and 25 MeV, respectively, within the framework of the distorted wave Born approximation. The differential cross sections at the first peaks in the angular distributions of these reactions are found to have uncertainties of approximately 5%, owing to the uncertainties in the optical model potentials from 20,000 calculations of randomly sampled parameters. This amount of uncertainty is found to be nearly independent of the angular momentum transfer and the target masses within the studied range of incident energies. Uncertainties in the single proton spectroscopic factors obtained by matching the theoretical and experimental cross sections at different scattering angles are also discussed.