\begin{document}$ {\delta _{^2{S_{1/2}}}} $\end{document}, \begin{document}$ {\delta _{^2{P_{3/2}}}} $\end{document}, and non-resonant \begin{document}$ {\delta _{^2{D_{3/2}}}} $\end{document}at the energies up to Ec.m. = 3 MeV are reproduced with high accuracy, which provides the appropriate agreement with the experimental data for the S-factor of 1950−2023 years. Two sets of asymptotic constant are used: Set I refers to Cw = 1.30(2), and Set II refers to Cw = 1.37(1). Set I leads to the astrophysical factor S(25) = 1.34 ± 0.02 keV·b, which is in agreement with data by Skowronski et al., 2023 – 1.34 ± 0.09 keV·b; Set II gives S(25) = 1.49 ± 0.02 keV·b, which is in agreement with data by Kettner et al., 2023 – 1.48 ± 0.09 keV·b. The reaction rates of 12C(p, γ0)13N at temperatures T9 from 0.001 to 10 are calculated. The detailed comparison with some models, the R-matrix approach, and NACRE II data for reaction rates is considered."> Reaction rate of radiative <i>p</i><sup>12</sup>C capture in a modified potential cluster model -
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