Determination of asymptotic normalization coefficients based on the dispersive optical model

A method for determining asymptotic normalization coefficients for removing nucleons from nuclei is proposed. It is based on the use of the dispersive optical model potential. Within the method, the strength parameter of the Hartree–Fock type potential at the Fermi energy is the only one fitting parameter. It was found that adjusting this parameter allows us to achieve a coincidence of the calculated binding energies with the experimental ones accurately enough. Specific calculations were carried out for ¹⁷O, ¹⁷F, ⁴¹Ca, and ⁴¹Sc nuclei. An acceptable agreement with the results of other works, which are characterized by a noticeable spread, was achieved.