Woods-Saxon potential parameters optimized to the high spin spectra in the lead region

Abstract

The parametrization of the spin-orbit part of the Woods-Saxon potential was optimized taking into account the single-particle energies corrected for nucleon-nucleus interaction and the high-spin spectra of ${}_{}{}^{204}{}_{}{}^{}\mathrm{Pb}$ and ${}_{}{}^{212}{}_{}{}^{}\mathrm{Rn}$. With the spin-orbit potential strength parameters $\lambda =36.0\mathrm{}$ and the radius parameter ${\left(r_0\right)}_{\mathrm{so}}=1.3\mathrm{}$ fm for both protons and neutrons, both types of empirical data are reproduced well. The configurations of the calculated high-spin states are identical with the shell-model results.