Astrophysical S factor and rate of $^{7}{\rm Be}(p, \gamma)^{8}{\rm B}$ direct capture reaction in a potential model
| Autor: | Tursunov, E. M., Turakulov, S. A., Kadyrov, A. S., Blokhintsev, L. D. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Phys. Rev. C104 (2021) 045806 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevC.104.045806 |
| Popis: | The astrophysical $^7{\rm Be}(p, \gamma)^8{\rm B}$ direct capture process is studied in the framework of a two-body single-channel model with potentials of the Gaussian form. A modified potential is constructed to reproduce the new experimental value of the $S$-wave scattering length and the known astrophysical $S$ factor at the Gamow energy, extracted from the solar neutrino flux. The resulting potential is consistent with the theory developed by Baye [Phys. Rev. C {\bf 62} (2000) 065803] according to which the $S$-wave scattering length and the astrophysical $S$ factor at zero energy divided by the square of ANC are related. The obtained results for the astrophysical $S$ factor at intermediate energies are in good agreement with the two data sets of Hammache {\it et al.} [Phys. Rev. Lett. {\bf 86}, 3985 (2001); {\it ibid.} {\bf 80}, 928 (1998)]. Linear extrapolation to zero energy yields $ S_{17}(0) \approx (20.5 \pm 0.5) \, \rm eV \, b $, consistent with the Solar Fusion II estimate. The calculated reaction rates are substantially lower than the results of the NACRE II collaboration. Comment: 16 pages, 5 figures, 2 tables |
| Databáze: | arXiv |
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