Peripheral charged particle transfer reactions and their application for nuclear astrophysics

A reliable evaluation of rates of different nuclear astrophysical reactions which responsible for the energy generation and nucleosynthesis of light elements in Big Bang processes, nova explosions, x-ray bursters, hydrogen burning in stars of the main sequence etc. is one of the actual problems of modern nuclear astrophysics. The impressive improvements in our understanding of these processes have been made in the last decades. That are the discovery of the neutrino oscillations, obtaining new precise data on the reactions cross sections at rather low energies, development of new correct methods of extrapolation to the stellar energy region. Nevertheless, at many important cases the experimental errors of the data and uncertainties of the extrapolation remain rather remarkable. One of the promising possibilities to solve these problems is based on the principal peripherally character of charged particles interaction at low energy and the possibility to use the asymptotic normalization coefficients (ANC) or respective nuclear vertex constants (NVC) for the extrapolation. Their values may be obtained from the analysis of the experimental data at more large energies where the accuracy of measurement is higher. The2,3H(α, γ)6,7Li, 3He(α, γ)7Be, 6Li(p, γ)7Be and 12C(p, γ)13N reactions are typical examples of processes. However, the available data have rather large uncertainties region (∼25 keV). The experimental possibilities for the improvement the accuracy of measurements are discussed. They can be conditionally divided on the 'direct' measurements when the reactions of interest are studied 'in laboratory' at the astrophysical relevant energies or at some higher energy, and 'indirect' - if the another reaction is investigated to obtain the information for the extrapolation of the needed cross section. First ones are the precision measurements of subbarrier fusion processes and radiative capture. In this case the experiments in 'reverse geometry' are successfully used now. Second ones are the reactions with nucleons or alphas transfer including 'heavy' stripping and pick up processes as well as the Coulomb dissociation. In both cases the radioactive beams are successfully used. The brief review of the investigations fulfilled by scientists of INP AS of Uzbekistan and INP NNC of Kazakhstan in this field is presented, particularly, the calculations of the astrophysical S-factors with the use of ANCs obtained from (3He,d) and the direct measurements of the (p, γ) radiative capture. The perspectives of such researches in the frame of some scientific collaborations (Argonne, USA; Libre University, Belgium; Colorado University, USA; INP of Moscow University, Russia) are discussed