Calculation of the nuclear vertex constant (asymptotic normalization coefficient) for the virtual decay 6Li → α + d on the basis of the three-body model and application of the result in describing the astrophysical nuclear reaction d(α, γ)6Li at ultralow energies

Abstract

Within the (α, n, p) three-body model, the s-wave 6Li → α + d vertex constant G01 and the asymptotic normalization coefficient C01 (these two quantities are proportional to each other) for the wave function describing the 6Li nucleus in the α + d channel are calculated by solving Faddeev equations for various sets of nucleon-nucleon and αN potentials. The resulting values of G01 and C01 are used to calculate the astrophysical factor S(E) for the radiative-capture reaction d(α, γ)6Li at energies in the range E = 0–600 keV. The calculated values of G01 and C01 appear to be sensitive to the form of the pair potentials used. It is shown that, upon correctly taking into account the contributions of the E2 and E1 multipolarities, the values of S(E) in the region E < 150 keV are determined primarily by the values of C01 and of the 6Li binding energy in the α + d channel.