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

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

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvc..40..515f&link_type=abstract

Physical Review C (Nuclear Physics), Volume 40, Issue 2, August 1989, pp.515-524

Physics

Nuclear Physics

28

Nuclear Reaction Models And Methods, 6<=A<=19, Elementary Particle Processes

Scientific paper

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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