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arXiv · 2405.07935

Study of the direct $^{16}{\rm O}(p, γ)^{17}{\rm F}$ astrophysical capture reaction within a potential model approach

E. M. Tursunov·S. A. Turakulov
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Abstract

A potential model is applied for the analysis of the astrophysical direct nuclear capture process $^{16}$O(p,$γ)^{17}$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 $^{17}$F(5/2$^+$) ground and $^{17}$F(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 $^{17}$F($5/2^{+}$) ground and $^{17}$F($1/2^{+}$) excited bound states, respectively. The zero-energy astrophysical factor $S(0)=9.321$ KeV b is obtained by using the asymptotic expansion method of D. Baye. The calculated reaction rates within the region up to 10$^{10}$ K are in good agreement with those from the R-matrix approach and the Bayesian model in both absolute values and temperature dependence.

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E. M. Tursunov, S. A. Turakulov. 2024-05-22. Study of the direct $^{16}{\rm O}(p, γ)^{17}{\rm F}$ astrophysical capture reaction within a potential model approach. https://doi.org/10.1016/j.nuclphysa.2024.122931

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