We considered one of the proton halo nuclei candidates, 13N* nucleus, and calculated the cross section and astrophysical S-factor for 12C(p, γ)13N * reaction using halo effective field theory without pion (hEFT π π). The halo effective field theory is used to examine the halo nucleus bound state with a large S-wave scattering length. We calculated the radiative proton capture cross section and the astrophysical S-factor from the fields of the core and the valence proton at the Leading-Order (LO). We showed that there is a good agreement among the our results for cross section and astrophysical S-factor of the 12C(p, γ)13N* reaction and the experimental data. The astrophysical S-factor that has been estimated at the zero energy (Ecm =0) by using a theoretical calculation of the cross section for direct radiative capture and an extrapolation of this calculation obtained S(0)=1.883×10−3S(0)=1.883×10−3 MeV-b.
