Аннотация:Asymptotic normalization coefficients (ANC)
determine the overall normalization of cross sections of
peripheral radiative capture reactions. In a recent paper
[Blokhintsev et al., Eur. Phys. J. A 58, 257 (2022)], we con-
sidered the ANC C0 for the virtual decay 16 O(0+ ; 6.05 MeV)→
α+12 C(g.s.). In the present paper, which can be regarded as
a continuation of the previous, we treat the ANCs Cl for the
vertices 16 O(J π ) → α+12 C(g.s.) corresponding to the other
three bound excited states of 16 O (J π = 3− , 2+ , 1− , l = J ).
ANCs Cl (l = 3, 2, 1) are found by analytic continuation
in energy of the α 12 C l-wave partial scattering amplitudes,
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 Cl , the
scattering data are approximated by the sum of polynomials
in energy in the physical region and then extrapolated to the
pole. For a more reliable determination of the ANCs, various
forms of functions expressed in terms of phase shifts were
used in analytical approximation and subsequent extrapola-
tion.