Comparison of Differential Cross Sections for the ReactionsC12(d, p)C13andC12(d, n)N13

The differential cross sections for the reactions ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13}$ and ${\mathrm{C}}^{12}(d, n){\mathrm{N}}^{13}$ to the ground states of the mirror nuclei ${\mathrm{C}}^{13}$ and ${\mathrm{N}}^{13}$ are reported for deuteron bombarding energies of 2.68 Mev and 3.26 Mev. The angular distributions at the forward angles are in agreement with those predicted from the formalism of Butler for both reactions. The cross sections are compared at the angle of the first stripping peak, and this comparison indicates that the reduced widths of the mirror nuclei ${\mathrm{C}}^{13}$ and ${\mathrm{N}}^{13}$ are the same. This is in agreement with the assumption of the charge symmetry of nuclear forces.