Abstract
The \(^{13}\mathrm{C}(p,\gamma )^{14}\mathrm{N}\) reaction is one of the important reactions in the CNO cycle, which is a key process in nucleosynthesis. We first calculated wave functions for the bound state of \(^{14}\mathrm{N}\) with Faddeev’s method. In this method, the considered reaction components are \(^{12}\mathrm{C}+n+p\). Then, by using direct capture cross section and Breit–Wigner formulae, the non-resonant and resonant cross sections were calculated, respectively. In the next step, we calculated the total S-factor and compared it with experimental data, which showed good agreement between them. Next, we extrapolated the S-factor for the transition to the ground state at zero energy and obtained \(S(0)=5.8 \pm 0.7~(\mbox{keV}\,\mbox{b})\) and then calculate reaction rate. These ones are in agreement with previous reported results.
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Moghadasi, A., Sadeghi, H. & Pourimani, R. Calculation of astrophysical S-factor in reaction \(^{13}\mathrm{C}(p,\gamma )^{14}\mathrm{N}\) for first resonance levels. Astrophys Space Sci 363, 2 (2018). https://doi.org/10.1007/s10509-017-3220-y
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DOI: https://doi.org/10.1007/s10509-017-3220-y