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Effects of density dependence of the effective pairing interaction on the first 2+ excitations and quadrupole moments of odd nuclei

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2011
Inst. Woodbury, NY

Physical review / C 84(6), 064324 () [10.1103/PhysRevC.84.064324]

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Abstract: Excitation energies and transition probabilities of the first 2(+) excitations in even tin and lead isotopes as well as the quadrupole moments of odd neighbors of these isotopes are calculated within the self-consistent theory of finite Fermi systems based on the energy density functional by Fayans et al. [Nucl. Phys. A 676, 49 (2000)]. The effect of the density dependence of the effective pairing interaction is analyzed in detail by comparing results obtained with volume and surface pairing. The effect is found to be noticeable. For example, the 2(+) energies are systematically higher at 200-400 keV for the volume paring as compared with the surface-pairing case. However, on the average, both models reasonably agree with the data. Quadrupole moments of odd-neutron nuclei are very sensitive to the single-particle energy of the state lambda under consideration owing to the Bogolyubov factor (u(lambda)(2) - v(lambda)(2)). A reasonable agreement with experiment for the quadrupole moments has been obtained for the most part of odd nuclei considered. The method used gives a reliable possibility to predict quadrupole moments of unstable odd nuclei, including very neutron rich ones.

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Note: We thank J. Engel and J. Terasaki for kindly supplying us with tables of the results of the QRPA calculations [27] with the SkM* and SLy4 force. Four of us, S.T., S.Ka., E.S., and D. V., are grateful to Institut fur Kernphysik, Forschungszentrum Julich for hospitality. The work was partly supported by the DFG and RFBR Grants No. 436RUS113/994/0-1 and No. 09-02-91352NNIO-a, by Grants No. NSh-7235.2010.2 and No. 2.1.1/4540 of the Russian Ministry for Science and Education, and by RFBR Grants No. 09-02-01284-a and No. 11-02-00467-a.; LaTeX, 17 pages, 20 figures/ minor modification, submitted to Phys. Rev. C; LaTeX, 17 pages, 20 figures; minor modification, submitted to Phys. Rev. C; *Brief entry*

Contributing Institute(s):
  1. Theoretische Kernphysik (IKP-3)
Research Program(s):
  1. Physik der Hadronen und Kerne (P53)

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 Record created 2012-11-13, last modified 2024-06-10