Distorted wave born approximation fit to ¹³C(d,p)¹⁴C cross section data at E_d=200-350 keV

Angular distributions of the differential cross section for the ¹³C(d,p)¹⁴C reaction at 200-350 keV deuteron energies have been calculated using the finite range distorted wave Born approximation (DWBA) model and have been compared with the experimental data. Optical model parameters data used in the present DWBA model calculations, was taken from previous normalized zero-range DWBA calculations for the ¹³C(d,p)¹⁴C reaction at 410-810 keV deuteron energies. There is good agreement between the finite range DWBA model calculations and the experimental ¹³C(d,p)¹⁴C cross section data at 200-350 keV deuteron energies. For the sake of comparison, the angular distributions were also calculated using the zero-range DWBA approximation. It was observed that the differential cross section obtained from normalized zero-range calculations over 200-350 keV deuteron energies was about 30-40 % smaller than that obtained from finite range calculations. The study has shown that the ¹³C(d,p)¹⁴C reaction at such low deuteron energies still proceed through the direct reaction channel and can be explained using the finite-range DWBA model.