ANCs for 14 and the Astrophysical S - factor for the 13 N C → + p 13 14 C p N ( , ) γ Reaction

In our previous report we presented preliminary results of the R-matrix analysis of the experimental data [1] of the astrophysical factors for the 13 reaction. This reaction is one of the important reactions of the CNO cycle. The R-matrix method allows us to treat in a consistent way, the resonant and nonresonant contribution, avoiding double counting. The R matrix nonresonant amplitudes are parametrized in terms of the asymptotic normalization coefficients (ANC’s) measured by us [3, 4]. The details of the analysis are given in our previous report. In this report we present the final results of the analysis. We find that the nonresonant captures are important to describe the data. Their effect is amplified due to interference with the resonance amplitudes. Note that 6 of 7 transitions to the bound states measured in [1] are reproduced using the ANC’s determined in our previous works [3, 4]. We determined more accurately the uncertainties of the fits to all bound states. 14 C p N ( , ) γ