Abstract
The 12C(α,γ)16O reaction rate at stellar helium burning temperatures is very important in nuclear astrophysics. The reduced α-widths of the 6.917 MeV and 7.117 MeV states in 16O will greatly influence the E2 and E1 transition part of the 12C(α,γ)16O reaction rate. It is known that one can determine the reduced α-width of the 6.917 MeV state in 16O by measuring the 12C(α,α)12C reaction. Many experimental efforts have gone into the study of an elastic scattering on 12C, where the systematic error of the reduced α-width of the 6.917 MeV state has to be very carefully analysed. An R-matrix calculation was performed to determine the systematic error of the reduced α-width of the 6.917 MeV state. A one-channel, and multi-level approximation in the R-matrix formalism was used, and the partial waves of l = 0 to l = 5 were included in the calculation. The calculated cross sections were fitted to the previous data. The dependence of the reduced α-width of the 6.917 MeV state in 16O on the detecting angle position, the incident beam energy and the absolute normalization constant of the cross section was obtained. Our analysis could be helpful in designing a new 12C(α,α)12C measurement, and determining the systematic error of the reduced α-width of the 6.917 MeV state in 16O.
Published Version
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