Asymptotic normalization coefficients for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>13</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi><mml:mo>+</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>14</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:math>

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 ${}^{13}\mathrm{C}+\stackrel{\ensuremath{\rightarrow}}{p}{}^{14}\mathrm{N}$ 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 ${}^{7}\mathrm{Be}(p,\ensuremath{\gamma}{)}^{8}\mathrm{B}$ at solar energies from a measurement of the proton transfer reaction ${}^{14}\mathrm{N}{(}^{7}\mathrm{Be}{,}^{8}\mathrm{B}{)}^{13}\mathrm{C}.$

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