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Asymptotic theory of charged particle transfer reactions at low energies and nuclear astrophysics

R. YarmukhamedovInstitute of Nuclear Physics, Uzbekistan Academy of Sciences, Tashkent 100214, UzbekistanK. I. TursunmakhatovPhysical and Mathematical Department of Gulistan State University, Gulistan 120100, UzbekistanN. BurtebayevAl Farabi Kazakh National University, Almaty 050040, Kazakhstan
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An asymptotic theory is proposed for the peripheral transfer [Formula: see text] reaction at low energies within the three-body ([Formula: see text], [Formula: see text] and [Formula: see text]) model by combining the dispersion theory and DWBA, where [Formula: see text], [Formula: see text] and [Formula: see text] is a transferred particle. The contribution of the three-body ([Formula: see text], [Formula: see text] and [Formula: see text]) Coulomb dynamics of the transfer mechanism both to the peripheral partial amplitudes for the partial wave [Formula: see text] 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 [Formula: see text] and [Formula: see text] as well as for the direct astrophysical [Formula: see text] factors at stellar energy of the radiative capture [Formula: see text] and [Formula: see text] reactions.

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