Parameterization of the Woods-Saxon Potential for Shell-Model Calculations

TL;DR

This paper presents a new parameterization of the Woods-Saxon potential that accurately describes single-particle spectra and other nuclear properties across a wide range of nuclei, enhancing shell-model calculations.

Contribution

The authors provide a globally applicable, isospin symmetric Woods-Saxon potential parameter set optimized for nuclei from oxygen to superheavy elements, improving nuclear modeling accuracy.

Findings

Accurate reproduction of experimental single-nucleon spectra

Reliable predictions of nuclear radii and drip-lines

Effective basis for shell-model calculations in continuum

Abstract

The drastically expanded use of the Woods-Saxon potential in modern day nuclear physics and the availability of new nuclear data motivated us to review and optimize the parameters of this potential to the experimental single-nucleon spectra around the doubly-magic nuclei between $^{16}$O and $^{208}$Pb. We obtain a parameterization which is applicable over the whole nuclear chart for nuclides between $^{16}$O and the heaviest elements. Apart from Coulomb components the obtained parameter set is isospin symmetric. We demonstrate that the potential provides a good description of the nuclear mean field leading to quality single-particle spectra, nuclear radii, prediction of drip-lines, shell closures and other properties. Thus presented Woods-Saxon fit provides adequate single-particle basis for shell model calculations bridging over into the continuum.