Neutron Transfer to the Ground State ofC14in theC13(N14,N13)C14Reaction

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.