Nuclear asymptotic normalization coefficients for {sup 14}N {sup {yields} 13}C + p configurations and astrophysical S factor for radiative proton capture

Empirical values of the asymptotic normalization coefficient for proton bound states in the {sup 14}N nucleus for the first five levels were obtained from an analysis of the experimental differential cross sections known from our measurements and from the literature for the reaction {sup 13}C({sup 3}He, d){sup 14}N in the projectile-energy range between about 15 and 40 MeV. The values obtained in this way were used to calculate the astrophysical S factors for the reaction {sup 13}C(p, {gamma}){sup 14}N in the case of the population of the first five levels of the 14N nucleus. The calculations were based on the R-matrix approach. The calculated values are in good agreement with the experimental astrophysical S factor at energies below 1 MeV.