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- Title
Calculation of astrophysical S-factor in reaction $^{13}\mathrm{C}(p,\gamma )^{14}\mathrm{N}$ for first resonance levels.
- Authors
Moghadasi, A.; Sadeghi, H.; Pourimani, R.
- 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.
- Subjects
RESONANCE; NUCLEOSYNTHESIS; NUCLEAR reactions; WAVE functions; NUCLEAR cross sections
- Publication
Astrophysics & Space Science, 2018, Vol 363, Issue 1, p1
- ISSN
0004-640X
- Publication type
Article
- DOI
10.1007/s10509-017-3220-y