Determination of the astrophysical Si26(p,γ)P27 reaction rate from the asymptotic normalization coefficients of Mg27 → Mg26 + n

Astronomy and Astrophysics – Astrophysics

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Hydrostatic Stellar Nucleosynthesis, Transfer Reactions, Radiative Capture, Spectroscopic Factors And Asymptotic Normalization Coefficients

Scientific paper

The squares of neutron asymptotic normalization coefficient (ANC) for Mg27 → Mg26 + n are extracted to be 44.0 ± 5.3, 3.40 ± 0.32 and 0.90 ± 0.08 fm-1 from the angular distributions of the Mg26(d,p)Mg27 reaction leading to the ground, first, and second excited states of Mg27, respectively, based on distorted wave Born approximation (DWBA) analysis. According to charge symmetry of mirror nuclei, the square of proton ANC for P27 → Si26 + p is determined to be 1840 ± 240 fm-1 and then utilized to calculate the astrophysical S-factor and rate for the direct capture into the P27 ground state. In addition, the proton widths for the first and second excited states in P27 are derived to be 1.30 ± 0.12 × 10-8 and 1.79 ± 0.15 × 10-5 MeV from the neutron ANCs and used to compute the contribution of the resonant captures. Furthermore, we have also presented the total astrophysical Si26(p,γ)P27 reaction rate.

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