Asymptotic Theory Of Charged Particle Transfer Reactions At Low Energies And Nuclear Astrophysics

An asymptotic theory is proposed for the peripheral transfer A(x, y)B reaction at low energies within the three-body (A, a and y) model by combining the dispersion theory and DWBA, where x = y + a, B = A + a and a is a transferred particle. The contribution of the three-body (A, a and y) Coulomb dynamics of the transfer mechanism both to the peripheral partial amplitudes for the partial wave l(i) >> 1 and to the DWBA amplitude is investigated. The results of the analysis of the differential cross sections of the specific proton transfer reactions at above-barrier energies are presented. New estimates and their uncertainties are obtained for values of the asymptotic normalization coefficients for Be-9+p -> B-10 and B-11+p -> C-12 as well as for the direct astrophysical S factors at stellar energy of the radiative capture Be-9(p, gamma)B-10 and B-11(p, gamma)C-12 reactions.