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Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei

H. Nakada and T. Inakura
Phys. Rev. C 91, 021302(R) – Published 18 February 2015

Abstract

We investigate the effects of the 3N interaction, which effectively adds a density-dependent term to the LS channel, on the isotopes shifts of the Pb nuclei. With the strength so as to keep the s splitting of the single-nucleon orbits, the density dependence in the LS channel tends to shrink the wave functions of the j=+1/2 orbits while making the j=1/2 functions distribute more broadly. Thereby the kink in the isotope shifts of the Pb nuclei at N=126 becomes stronger, owing to the attraction from neutrons occupying 0i11/2 in N>126. The density dependence in the LS channel enables us to reproduce the data of the isotope shifts by the Hartree-Fock-Bogoliubov calculations in a long chain of neutron numbers, even without degeneracy between the n1g9/2 and n0i11/2 levels. We exemplify it by the semirealistic M3Y-P6 interaction.

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  • Received 4 December 2014

DOI:https://doi.org/10.1103/PhysRevC.91.021302

©2015 American Physical Society

Authors & Affiliations

H. Nakada1,* and T. Inakura1,2

  • 1Department of Physics, Graduate School of Science, Chiba University, Yayoi-cho 1-33, Inage, Chiba 263-8522, Japan
  • 2Yukawa Institute of Theoretical Physics, Kyoto University, Kitashirakawa Oiwake-cho, Sakyo, Kyoto 606-8502, Japan

  • *nakada@faculty.chiba-u.jp

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Issue

Vol. 91, Iss. 2 — February 2015

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