Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis

TL;DR

This paper introduces a new diagonalisation technique in the complex-ranged Gaussian basis to accurately compute asymptotic normalization coefficients for bound states, especially in non-local nucleon-nucleus interactions.

Contribution

It presents a novel method for calculating ANCs using Hamiltonian matrix diagonalisation in a complex Gaussian basis, applicable to non-local potentials.

Findings

Accurate extraction of ANCs from bound state wave functions.

Effective for non-local nucleon-nucleus interactions.

Demonstrated with phenomenological global potentials.

Abstract

A new technique towards finding asymptotic normalization coefficients in the complex-ranged Gaussian basis is presented. It is shown that a diagonalisation procedure for the total Hamiltonian matrix in the given basis results in approximation for a radial part of the bound state wave function from the origin up to the far asymptotic distances, which allows to extract ANCs rather accurately. The method is illustrated by calculations of single-particle ANCs for nuclei bound states in cases of non-local nucleon-nucleus interactions, in particular, phenomenological global potentials with the Perey-Buck's non-locality.