Comparative study of the direct ¹⁶ O(p, γ)¹⁷ F astrophysical capture reaction within a potential model approach

A potential model is applied for the comparative analysis of the astrophysical direct nuclear capture process ¹⁶O(p,γ)¹⁷F. The phase-equivalent potentials of the Woods-Saxon form for the p-¹⁶O interaction are examined which reproduce the binding energies and the empirical values of ANC from different sources for the ¹⁷F(5/2⁺) ground and ¹⁷F(1/2⁺) (E^*=0.495 MeV) excited bound states. The best description of the experimental data for the astrophysical S factor is obtained within the potential model which yields the ANC values of 1.043 fm-1/2 and 75.484 fm-1/2 for the ¹⁷F(5/2⁺) ground and ¹⁷F(1/2⁺) excited bound states, respectively. The zero-energy astrophysical factor $S(0)=9.321$ keV b was obtained by using the asymptotic expansion method of D. Baye. The calculated reaction rates are in good agreement with the R-matrix approach and the Bayesian model in the description of the both absolute values and temperature dependence within the region up to 10¹⁰ K.