Abstract
The astrophysical S factors of E1 and E2 capture data of 12C( α , γ) reaction at 300 keV have been calculated based on our recent determined ANC values of 6.92 MeV and 7.12 MeV states of 16O using R-matrix. The S-factors are extrapolated into the range of burning temperature and the S-factors at 300 keV are S E1= (86 ± 34) keV b and SE2= (60 ± 33) keV b.
Highlights
The most two important thermonuclear reactions by which He is decreased are the 3α → 12C and 12C(α,γ)16O reactions in the He-burning stars
Due to very low cross-section at astrophysical energy of the 12C(α,γ)16O reaction [1,2,3], large uncertainty arise in the rate of this capture reaction
In this paper we report a study of R-matrix analysis of the E1 and E2 capture data with the Asymptotic Normalization Co-efficient (ANC) of the 6.92 MeV and 7.12 MeV states of 16O determined from 12C(6Li,d) alpha transfer measurements at sub-coulomb energies and calculate astrophysical S factors for E1 and E2 capture data of 12C(α,γ) at T9=0.2 by R-matrix extrapolation using AZURE2 code [7]
Summary
The most two important thermonuclear reactions by which He is decreased are the 3α → 12C and 12C(α,γ)16O reactions in the He-burning stars. R-matrix extrapolation of the cross-section measured at higher energy to the Gamow energy is a powerful way to solve this problem In this case the extrapolation is very difficult due to the presence of large uncertainty in the measured S α and γα of the two sub-threshold states 6.92 MeV and 7.12 MeV of 16O. Alpha transfer measurements have been usually used to determined the ANC of sub-threshold states that influenece capture reaction cross-section. In this paper we report a study of R-matrix analysis of the E1 and E2 capture data with the ANC of the 6.92 MeV and 7.12 MeV states of 16O determined from 12C(6Li,d) alpha transfer measurements at sub-coulomb energies and calculate astrophysical S factors for E1 and E2 capture data of 12C(α,γ) at T9=0.2 by R-matrix extrapolation using AZURE2 code [7]
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