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

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.

18 pages

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