The 13C(p,γ)14N reaction is one of the important reactions in the CNO cycle, which is a key process in nucleosynthesis. We first calculated wave functions for the bound state of 14N with Faddeev’s method. In this method, the considered reaction components are 12C + n + p. Then, by using direct capture cross section and Breit–Wigner formulae, the non-resonant and resonant cross sections were calculated, respectively. In the next step, we calculated the total S-factor and compared it with experimental data, which showed good agreement between them. Next, we extrapolated the S-factor for the transition to the ground state at zero energy and obtained S(0) = 5.8 ± 0.7 (keV b) and then calculate reaction rate. These ones are in agreement with previous reported results.
