Study of the direct $^{16}{\rm O}(p, γ)^{17}{\rm F}$ astrophysical capture reaction within a potential model approach
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| Format: | Preprint |
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2024
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| author | Tursunov, E. M. Turakulov, S. A. |
| author_facet | Tursunov, E. M. Turakulov, S. A. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_07935 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Study of the direct $^{16}{\rm O}(p, γ)^{17}{\rm F}$ astrophysical capture reaction within a potential model approach Tursunov, E. M. Turakulov, S. A. Nuclear Theory 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. |
| title | Study of the direct $^{16}{\rm O}(p, γ)^{17}{\rm F}$ astrophysical capture reaction within a potential model approach |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2405.07935 |