Shell-Model Theory of Pb-206
Mar 1, 195822 pages
Published in:
- Phys.Rev. 109 (1958) 1675-1697
Citations per year
Abstract: (APS)
A detailed nuclear shell model calculation of the energy levels and gamma-ray transition rates in Pb206 is carried through. For pure singlet two-body forces with the same effective range and strength as for the low-energy two-body system, energy level agreement is good—for 13 known levels, the mean discrepancy between theory and experiment is 0.057 Mev. For singlet forces 75% as strong as for the low-energy two-body system, plus weak coupling to collective vibration, the energy level agreement is somewhat better—the mean discrepancy between theory and experiment is 0.035 Mev per level. In the latter theory, the strength of collective motion is determined from the known Coulomb excitation cross section in Pb206. In either theory, the calculated transition rates are in qualitative accord with experiment, but quantitative agreement is lacking.
Electric quadrupole transition rates are shown to be describable in terms of a neutron effective charge. The effective charge is about 1.15e and the same in Pb206 as in Pb207. Other calculated quantities in good agreement with experiment are the relative cross sections to final p states in the Pb206(d, p)Pb207 reaction and the difference in binding energies of the last neutron in Pb206 and Pb207. The results are shown to be insensitive to substantial amounts of triplet-odd force, either attractive or repulsive.References(24)
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