Elsevier

Nuclear Physics A

Volume 271, Issue 1, 26 October 1976, Pages 210-220
Nuclear Physics A

The K-matrix parametrization of the 12C(α, γ)16O cross section

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Abstract

The experimental data on the El part of the 12C(α, γ)16O cross section and the l = 1 phase shift of 12C(α, α)12C are analyzed in terms of a two-channel, two-level approximation of a modified K-matrix. The latter allows a unitary parametrization, avoids computing Coulomb wave functions and does not require introducing channel radii; at low energies, it differs very little from the conventional K-matrix. Simple results are obtained which allow the extrapolation of the 12C(α, γ)16O cross section to lower energies of astrophysical interest (Eα(c.m.) ≈ 300 keV). Our results are compared with those of other parametrizations and suggestions are made to improve the uncertainties resulting from the best data presently available.

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Supported in part by the National Science Foundation [MPS71-02670 AO5].

††

On leave of absence from the Institute of Physics of Physics of the University of Liĕge, Sart Tilman, 4000 Liĕge 1, Belgium.

†††

Now at the Nuclear Physics Laboratory of the University of Washington, Seattle, Washington 98195.

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