Estimates of the astrophysical S-factors for proton radiative capture by ~(10)B and ~(24)Mg nuclei using the ANCs from proton transfer reactions

摘要

The contribution of the direct radiative capture of protons by _(10)B and ~(24)Mg nuclei at low energies to the astrophysical S-factors in the reactions _(10)B(p,γ)~(11)C and ~(24)Mg(p,γ)~(25)Al have been calculated within the R-matrix formalism by using empirical proton asymptotical normalization coefficients (ANC). The ANCs for bound proton configurations {~(10)B+p} and {~(24)Mg+p} were obtained from the analysis of the reactions (~3He, d). The ANCs were also estimated from the values of the neutron ANCs in the mirror nucleus ~(25)Mg following the suggestion that the neutron and the proton in the mirror states have equivalent nuclear potentials. It has been found that the S-factor for the reaction ~(10)B(p,γ) ~(11)C extrapolated to zero energy contributes ～100 keV b to the radiative capture to the ground state of 11C. For the reaction ~(24)Mg(p,γ)~(25)Al the value S(0) gives 58 keV b with a direct capture contribution of 41 keV b.