Determination of Asymptotic Normalization Coefficients Based on the Dispersive Optical Model

TL;DR

This paper introduces a dispersive optical model-based method to accurately determine asymptotic normalization coefficients for nucleon removal, fitting a single parameter to match experimental binding energies.

Contribution

The novel approach simplifies the determination of asymptotic normalization coefficients using a dispersive optical model with only one fitting parameter.

Findings

Achieved accurate binding energy calculations for 17O, 17F, 41Ca, and 41Sc.

Obtained results consistent with other studies despite spread in data.

Method effectively reproduces experimental data with minimal parameters.

Abstract

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.