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A phenomenological spin-orbit and nuclear potential for 208Pb

  • G. Mairle
  • P. Grabmayr

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.

PACS. 21.60.Cs Shell model – 21.10.Jx Spectroscopic factors – 27.80.+w mass range 190-219 – 25.45.Hi Transfer reactions, 2H induced 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2000

Authors and Affiliations

  • G. Mairle
    • 1
  • P. Grabmayr
    • 2
  1. 1.Universität Mannheim, GermanyDE
  2. 2.Physikalisches Institut, Universität Tübingen, GermanyDE

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