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Докладчик Орлов Ю.В. At solar energies, which are below the Coulomb barrier, the asymptotic normalization coefficients Cj for the ground p_{3/2} and excited p_{1/2} bound state wave functions of 7Be determine the capture cross section for 3He(\alpha,\gamma)7Be which is a key reaction in nuclear astrophysics. Thus, determining C_j is crucial when considering the discrepancies between a number of theoretical and experimental works on the flux of solar neutrinos. To estimate the vertex constants (Gren_(j))^2 for the vertex 7Be->3He+4He and the relating C_j we use the effective-range function expansion. We also fit the K_j(k^2) parameters to the 7Be binding energies \epsilon_j (\epsilon_{1/2}=1.158 and \epsilon_3/2=1.587 MeV) and the 3He4He scattering phase shifts for 3He energy E_3=(3.30-6.86) MeV [2]selecting reasonable results of the phase shifts analysis for smaller energies. The justification for this calculation is the convergence of the K_j(k^2) expansions. This is because both the poles of the bound states and a large part of the energy interval for the measured phase shifts in [2] are within the convergence circle around zero on the complex k plane. 1. Yu.V.Orlov, B.F.Irgaziev and L.I.Nikitina // Yad. Fiz. 2010. V.73. №5. 2. W.R.Boykin, S.D.Baker and D.M.Hardy // Nucl. Phys. A. 1972. V.195. P.241.