Crossing of the πd5/2 and πg7/2 orbitals in the 51Sb isotopes

  • M. -G. PorquetEmail author
  • S. Péru
  • M. Girod
Original Article


Self-consistent calculations using the D1S Gogny force have been performed in order to study the mechanism involved in the crossing of the πd5/2 and πg7/2 orbitals in the Sb isotopes. This inversion is well predicted by the HFB + blocking calculations with spherical symmetry performed for the odd-A Sb isotopes. In addition, several HFB and HF calculations have been performed for even-even nuclei of the five neighbouring isotopic chains (Z = 46 to 54, from the proton dripline to N = 82). The results obtained for the binding energies of the two proton orbitals indicate that the radii of the systems play an important role in the crossing, even though some particular πν interactions also give a contribution. The spin-orbit interaction, which is known to be concentrated mainly at the nuclear surface, is proposed to be the main responsible of the crossing.


21.10.Dr Binding energies and masses 21.60.Ev Collective models 21.60.Jz Hartree-Fock and random-phase approximations 27.60.+j 90 ⩽ A ⩽ 149 


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  1. 1.
    Y. Utsuno , Phys. Rev. C 60, 054315 (1999).Google Scholar
  2. 2.
    A. Ozawa , Phys. Rev. Lett. 84, 5493 (2000).Google Scholar
  3. 3.
    T. Otsuka , Phys. Rev. Lett. 87, 082502 (2001).Google Scholar
  4. 4.
    R.B. Firestone (Editor), Table of Isotopes, 8th edition (Wiley, New York, 1996).Google Scholar
  5. 5.
    R.F. Casten, Nuclear Structure from A Simple Perspective, 2nd edition (Oxford University Press, 2000).Google Scholar
  6. 6.
    A. de-Shalit, M. Goldhaber, Phys. Rev. 92, 1211 (1953).Google Scholar
  7. 7.
    A. Bohr, B. Mottelson, Nuclear Structure, Vol. 1 (Benjamin, New York, 1969). Google Scholar
  8. 8.
    M.-G. Porquet , Eur. Phys. J. A 24, 39 (2005).Google Scholar
  9. 9.
    J. Dechargé, D. Gogny, Phys. Rev. C 21, 1568 (1980)Google Scholar
  10. 10.
    S. Péru, M. Girod, J.-F. Berger, Eur. Phys. J. A 9, 35 (2000).Google Scholar
  11. 11.
    R. Bengtsson, J. Dudek, W. Nazarewicz, P. Olanders, Phys. Scr. 39, 196 (1989).Google Scholar
  12. 12.
    J. Dudek, Z. Szymanski, T. Werner, Phys. Rev. C 23, 920 (1981).Google Scholar
  13. 13.
    V.A. Cherpunov, Sov. J. Nucl. Phys. 6, 696 (1968).Google Scholar
  14. 14.
    E. Rost, Phys. Lett. B 26, 184 (1968).Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  1. 1.CSNSM IN2P3-CNRS and Université Paris-SudOrsayFrance
  2. 2.CEA/DIF, DPTA/SPNBruyères-le-ChâtelFrance

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