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K-matrix analysis of the 12C(α,γ) reaction at low energy

Filippone, B. W. and Humblet, J. and Langanke, K. (1989) K-matrix analysis of the 12C(α,γ) reaction at low energy. Physical Review B, 40 (2). pp. 515-524. ISSN 0556-2813. doi:10.1103/PhysRevC.40.515.

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The most recent data for the 12C(α,γ)16O reaction are parametrized in terms of a K matrix in order to derive the astrophysical S(E) factor at stellar energies. This straightforward parametrization introduces neither boundary condition constants nor channel radii. To constrain the free parameters, all the available data for the phase shifts δl(l=1,2) of 12C(α,α)12C were simultaneously fitted with those for the E1 and E2 radiative captures. For each of the three sets of capture data we have analyzed, χ2 tests have been performed with different types of energy-dependent background terms, namely, polynomials and nonresonant echo poles (in the sense of McVoy). The introduction of such poles is motivated by the falling of the δl phase shift at higher energies. On the basis of the present analysis, it is concluded that, from the data available, one can derive an allowed range for S(0.3), from 0.00 to 0.17 MeV b. No confidence can be given to a so-called best value of S(0.3) within this range because such a value is dependent on both the data set analyzed and the type of background terms introduced into the parametrized K matrix.

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Filippone, B. W.0000-0002-2618-2688
Additional Information:©1989 The American Physical Society Received 6 February 1989 The authors are grateful to C.A. Barnes, William A. Fowler, S.E. Koonin, and C. Rolfs for useful discussions. One of us (J.H.) acknowledges support from the "Belgian Fond National de la Recherche Scientifique" and B.W.F. from the Sloan Foundation. This work was supported in part by the National Science Foundation, Grant Nos. PHY85-05682 and PHY86-04197.
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Deposited On:30 Nov 2006
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