Dispersion (asymptotic) theory of charged-particle transfer reactions and nuclear astrophysics

A new 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 results of the analysis of the differential cross sections of the proton transfer Be-9(B-10, Be-9)B-10 reaction at the B-10 projectile energy of 100 MeV populating the ground and excited states of the residual nucleus are presented. New estimates and their uncertainties are obtained for values of the asymptotic normalization coefficients for Be-9 + p -> B-10 and for the astrophysical S factors at stellar energy of the radiative capture Be-9(p, gamma)B-10 reaction.