  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
considered the ANC $C_0$ for the virtual decay $^{16}$O$(0^+; 6.05$ MeV)$\to
\alpha+^{12}$C(g.s.). In the present paper, which can be regarded as a
continuation of the previous, we treat the ANCs $C_l$ for the vertices
$^{16}$O$(J^\pi)\to \alpha+^{12}$C(g.s.) corresponding to the other three bound
excited states of $^{16}$O ($J^\pi=3^-$, $2^+$, $1^-$, $l=J$). ANCs $C_l$
($l=3,\,2,\,1$) are found by analytic continuation in energy of the
$\alpha^{12}$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 $C_l$, 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 extrapolation.
