Аннотация:Asymptotic normalization coefficients (ANC)
determine the overall normalization of cross sections of
peripheral radiative capture reactions. In the present paper,
we treat the ANC C for the virtual decay 16 O(0+ ; 6.05
MeV)→ α+12 C(g.s.), the known values of which are char-
acterized by a large spread (0.29 − 1.65) × 103 fm−1/2 . The
ANC C is found by analytic continuation in energy of the
α 12 C s-wave scattering amplitude, known from the phase-
shift analysis of experimental data, to the pole corresponding
to the 16 O bound state and lying in the unphysical region of
negative energies. To determine C, two different methods of
analytic continuation are used. In the first method, the scat-
tering data are approximated by the sum of polynomials in
energy in the physical region and then extrapolated to the
pole. The best way of extrapolation is chosen on the basis
of the exactly solvable model. Within the second approach,
the ANC C is found by solving the Schrödinger equation
for the two-body α 12 C potential, the parameters of which
are selected from the requirement of the best description of
the phase-shift analysis data at a fixed experimental binding
energy of 16 O(0+ ; 6.05 MeV) in the α+12 C channel. The
values of the ANC C obtained within these two methods lie
in the interval (886–1139) fm−1/2 .