Asymptotic normalization coefficients of alpha-particle removal from O()
L. D. Blokhintsev · A. S. Kadyrov · A. M. Mukhamedzhanov · D. A. Savin
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 for the virtual decay O MeV)C(g.s.). In the present paper, which can be regarded as a continuation of the previous, we treat the ANCs for the vertices OC(g.s.) corresponding to the other three bound excited states of O (, , , ). ANCs () are found by analytic continuation in energy of the C -wave partial scattering amplitudes, known from the phase-shift analysis of experimental data, to the pole corresponding to the O bound state and lying in the unphysical region of negative energies. To determine , 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.