Reaction rate of radiative <i>p</i> ¹²C capture in a modified potential cluster model*

Abstract The astrophysical S -factor of the 12 C( p , γ 0 ) 13 N reaction at energies from 25 keV to 5 MeV within the framework of a modified potential cluster model with forbidden states is considered. The experimental phase shifts resonant , , and non-resonant at the energies up to E c.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 C w = 1.30(2), and Set II refers to C w = 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 12 C( p , γ 0 ) 13 N at temperatures T 9 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.