A phenomenological spin-orbit and nuclear potential for 208Pb

Abstract

A local, state-independent nuclear single-particle potential for 208Pb was developed by suitably shaping the nuclear central term and the related spin-orbit term of Thomas type. The aim was to reproduce accurately the excitation energies of the known single-particle states in 207Tl, 207Pb, 209Bi and 209Pb as well as the recently observed dependence of the spin-orbit splittings on angular momentum l and principal quantum number n. As result, a set of orthogonal proton and neutron wave functions was obtained which were used for a consistent reanalysis of proton and neutron single-particle transfer reactions on 208Pb. The quality of the description of measured angular distributions is comparable with that obtained originally with individual “best fit” potentials. The resulting single-particle spectroscopic factors amount on the average to S≈ 0.7. Single-particle densities derived from these wave functions are in qualitative agreement with measured charge and mass densities for 208Pb.