Nuclear asymptotic normalization coefficients for 14N →13C + p configurations and astrophysical S factor for radiative proton capture

Empirical values of the asymptotic normalization coefficient for proton bound states in the 14N 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 13C(3He, d)14N 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 13C(p, γ)14N 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.