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Asymptotic normalization coefficients (ANC) determine the overallnormalization of cross sections of peripheral radiative capture reactions. In arecent paper [Blokhintsev et al., Eur. Phys. J. A 58, 257 (2022)], weconsidered 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 acontinuation 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 boundexcited 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 thephase-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 ofpolynomials in energy in the physical region and then extrapolated to the pole.For a more reliable determination of the ANCs, various forms of functionsexpressed in terms of phase shifts were used in analytical approximation andsubsequent extrapolation.

Asymptotic normalization coefficients of alpha-particle removal from $^{16}$O($3^-,2^+,1^-$)