Asymptotic normalization coefficients for13C+p14N

The ${}^{13}\mathrm{C}{(}^{14}\mathrm{N}{,}^{13}\mathrm{C}{)}^{14}\mathrm{N}$ proton exchange reaction has been measured at an incident energy of 162 MeV. Angular distributions were obtained for proton transfer to the ground and low-lying excited states in ${}^{14}\mathrm{N}.$ Elastic scattering of ${}^{14}\mathrm{N}$ on ${}^{13}\mathrm{C}$ also was measured out to the rainbow angle region in order to find reliable optical model potentials. Asymptotic normalization coefficients for the system ${}^{13}\mathrm{C}+\overrightarrow{p}{}^{14}\mathrm{N}$ have been found for the ground state and the excited states at 2.313, 3.948, 5.106, and 5.834 MeV in ${}^{14}\mathrm{N}.$ These asymptotic normalization coefficients will be used in a determination of the S factor for ${}^7\mathrm{Be}(p,\gamma {)}^8\mathrm{B}$ at solar energies from a measurement of the proton transfer reaction ${}^{14}\mathrm{N}{(}^7\mathrm{Be}{,}^8\mathrm{B}{)}^{13}\mathrm{C}.$