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EPJ A - Hadrons and Nuclei
Hadrons and Nuclei

Eur. Phys. J. A 9, 313-326

A phenomenological spin-orbit and nuclear potential for \ensuremath{\mathsf{^{208}Pb}}

G. Mairle1 - P. Grabmayr2

1 Universität Mannheim, Germany
2 Physikalisches Institut, Universität Tübingen, Germany

Received: 12 September 2000
Communicated by P. Schuck

Abstract
A local, state-independent nuclear single-particle potential for \ensuremath{\mathsf{^{208}Pb}} 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 \ensuremath{\mathsf{^{207}Tl}}, \ensuremath{\mathsf{^{207}Pb}}, \ensuremath{\mathsf{^{209}Bi}} and \ensuremath{\mathsf{^{209}Pb}} as well as the recently observed dependence of the spin-orbit splittings on angular momentum $\ell$ 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 \ensuremath{\mathsf{^{208}Pb}}. 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 $S\approx$ 0.7. Single- particle densities derived from these wave functions are in qualitative agreement with measured charge and mass densities for \ensuremath{\mathsf{^{208}Pb}}.

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

Copyright Società Italiana di Fisica, Springer-Verlag 2000

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