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

Abstract

A potential model is applied for the analysis of the astrophysical direct nuclear capture process ¹⁶O(p,${\gamma )}^{17}$F. The phase-equivalent potentials of the Woods-Saxon form for the p${-}^{16}$O interaction are examined which reproduce the binding energies and the empirical values of ANC for the ¹⁷F(5/2⁺) ground and ¹⁷F(1/2⁺) ($E^{⁎}$=0.495 MeV) excited bound states from different sources. 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 $S\left(0\right)=9.321$ KeV b is obtained by using the asymptotic expansion method of D. Baye. The calculated reaction rates within the region up to 10¹⁰ K are in good agreement with those from the R-matrix approach and the hierarchical Bayesian model in both absolute values and temperature dependence.