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Model-independent determination of the astrophysical S-factor value at zero energy for reactions involving light nuclei is very important in nuclear astrophysics [1,2]. The radiative capture 16O(p,γ)17F reaction is one of the key sequence in the carbon-nitrogen-oxygen (CNO) cycle of the evolution in the stellar nucleosynthesis. The aim of this work is to determine the zero energy value of the S(0)-factor of direct nuclear capture 16O(p,γ)17F reaction within the framework of the two-body potential model in the single channel approach. In Table 1 we demonstrate the obtained values of the astrophysical S(0)-factor of the direct 16O(p,γ)17F capture process at the zero energy and asymptotical normalization coefficients (ANCs) for the ground 17F(5/2+) and first excited 17F(1/2+) bound states. The zero-energy astrophysical S(0)-factor was estimated by using the asymptotic expansion method [1, 2]. As can be seen from the table, the result of the VM2 model is in very good agreement with the result of the ANC method of Ref.[3] S(0) = 9.45 ± 0.40 keV b and with the NACRE compilation data S(0) = 9.3 ±2.8 keV b [4].
Table 1. Values of ANC for the ground 17F(5/2+) and first excited 17F(1/2+) bound states and S(0)-factor for the supposed potentials VMi in Ref.[5].
Model 2S+1LJ С, fm-1/2 S(0), keV b
VM1 2S1/2
2D5/2 73.404
1.012 8.809
VM2 2S1/2
2D5/2 75.484
1.043 9.321
VM3 2S1/2
2D5/2 80.450
1.038 10.521
VM4 2S1/2
2D5/2 84.025
1.056 11.461
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- S.A. Turakulov, E.M. Tursunov, Acta Phys. Pol. B Proc. Suppl. 16, 2-A3 (2023).
- S.V. Artemov, S.B. Igamov, K.I. Tursunmakhatov, and R. Yarmukhamedov, Bull. Rus. Acad.
Sci: Physics 73, 165 (2009). - NACRE (C. Angulo, M. Arnould, M. Rayet et. al.), Nucl. Phys. A 656, 3 (1999).
- E.M. Tursunov, S.A. Turakulov, Nucl. Phys. A 1050, 122931 (2024).
| Section | Nuclear physics (Section 1) |
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