The $^{\mathrm{13}}$C($\alpha , n)^{\mathrm{16}}$O reaction and the effect of 1/2$^{\mathrm{+}}$ threshold level on its astrophysical $S$-factor
ORAL
Abstract
The $^{\mathrm{13}}$C($\alpha , n)^{\mathrm{16}}$O reaction is a neutron generator in asymptotic giant branch stars and is considered as the main source of neutrons for the $s$-process. However, there are controversies about its $S$-factor at astrophysical relevant energies (around 140-230 keV) where it is controlled by the 1/2$^{\mathrm{+}}$ (6.356 MeV) threshold level. In this context, using $R$-matrix based formalism of Trojan Horse (TH) mechanism we will present our calculations of astrophysical $S$-factor to reanalyze the recent TH data using both assumptions that the threshold level is a subthreshold bound state or a resonance state.
*This work was supported in part by the U.S. DOE grant No. DE-FG02-08ER41533 and the U.S. NSF Grant No. 1415656.
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