Abstract
Thick targets of $^{13}\mathrm{C}$ (91.7%) were bombarded with $^{14}\mathrm{N}$ ions accelerated in the Oak Ridge tandem Van de Graaff, and the cross section for the neutron-transfer reaction $^{13}\mathrm{C}$($^{14}\mathrm{N}$, $^{13}\mathrm{N}$)$^{14}\mathrm{C}$ was measured from 12.5 to 20.5 MeV. The cross section measured in this energy range is due predominantly to transfer that proceed to the $^{14}\mathrm{C}$ ground state, since the threshold for the reaction to populate the 6.09-MeV first excited state is 17.6 MeV. The measured excitation function was then compared with cross sections calculated from the recent distorted-wave Born-approximation (DWBA) treatment of Schmittroth, Tobocman, and Golestaneh. It was possible to find an optical potential for which the DWBA matched the observed excitation function above 14-MeV (lab) incident energy. From this fit the spectroscopic factor for the $^{14}\mathrm{C}$ ground state was determined. The excitation function for the compound-nucleus reaction $^{13}\mathrm{C}(^{14}\mathrm{N},2p)^{25}\mathrm{Na}$ was also measured for $^{14}\mathrm{N}$ incident energies from 13.5 to 20.5 MeV.
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