Giant resonances in exotic spherical nuclei within the RPA approach with the Gogny force

  • S. PéruEmail author
  • J. F. Berger
  • P. F. Bortignon
Original Article


Theoretical results for giant resonances in the three doubly magic exotic nuclei 78Ni, 100Sn and 132Sn are obtained from Hartree-Fock (HF) plus Random Phase Approximation (RPA) calculations using the D1S parameterization of the Gogny two-body effective interaction. Special attention is paid to full consistency between the HF field and the RPA particle-hole residual interaction. The results for the exotic nuclei, on average, appear similar to those of stable ones, especially for quadrupole and octupole states. More exotic systems have to be studied in order to confirm such a trend. The low energy of the monopole resonance in 78Ni suggests that the compression modulus in this neutron-rich nucleus is lower than the one of stable ones.


21.10.Re Collective levels 24.30.Cz Giant resonances 21.60.Jz Hartree-Fock and random-phase approximations 23.20.Lv γ transitions and level energies 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P.F. Bortignon, A. Bracco, R.A. Broglia, Giant Resonances. Nuclear Structure at Finite Temperature (Harwood Ac. Publ., New York, 1998).Google Scholar
  2. 2.
    M.N. Harakeh, A. van der Woude, Giant Resonances: Fundamental High-energy Modes of Nuclear Excitation (Oxford University Press, Oxford, 2001).Google Scholar
  3. 3.
    A. Leistenschneider, Phys. Rev. Lett. 86, 5442 (2001).CrossRefADSGoogle Scholar
  4. 4.
    E. Tryggestad, Phys. Rev. C 67, 064309 (2003).CrossRefADSGoogle Scholar
  5. 5.
    Cf., e.g., O. Sorlin, in Proceedings of the International Conference on the Labirinth in Nuclear Structure, AIP Conf. Proc. 701, 31 (2004).ADSGoogle Scholar
  6. 6.
    H. Sagawa, H. Esbensen, Nucl. Phys. A 693, 448 (2001).ADSGoogle Scholar
  7. 7.
    D. Vretenar, N. Paar, P. Ring, G.A. Lalazissis, Nucl. Phys. A 692, 496 (2001).ADSGoogle Scholar
  8. 8.
    J. Dechargé, D. Gogny, Phys. Rev. C 21, 1568 (1980).ADSGoogle Scholar
  9. 9.
    J.F. Berger, M. Girod, D. Gogny, Comput. Phys. Commun. 63, 365 (1991).ADSzbMATHGoogle Scholar
  10. 10.
    J. Dechargé, L. Sips, Nucl. Phys. A 407, 1 (1983).ADSGoogle Scholar
  11. 11.
    J.P. Blaizot, D. Gogny, Nucl. Phys. A 284, 429 (1977).ADSGoogle Scholar
  12. 12.
    D. Gogny, J. Dechargé, J. Phys. (Paris), Colloq. C4, 221 (1984).Google Scholar
  13. 13.
    G. Giambrone, Nucl. Phys. A 726, 3 (2003).ADSGoogle Scholar
  14. 14.
    S. Péru, J.F. Berger, Int. J. Mod. Phys. E 13, 175 (2004).Google Scholar
  15. 15.
    E. Lipparini, S. Stringari, Phys. Rep. 175, 103 (1989).CrossRefADSGoogle Scholar
  16. 16.
    J.P. Blaizot, J.F. Berger, J. Dechargé, M. Girod, Nucl. Phys. A 591, 435 (1995).ADSGoogle Scholar
  17. 17.
    D.H. Youngblood, H.L. Clark, Y.-W. Lui, Phys. Rev. Lett. 82, 691 (1999).CrossRefADSGoogle Scholar
  18. 18.
    G. Colò, Nguyen Van Giai, Nucl. Phys. A 731, 15 (2004).ADSGoogle Scholar
  19. 19.
    G. Colò, Phys. Rev. C 70, 024307 (2004).ADSGoogle Scholar
  20. 20.
    I. Hamamoto, H. Sagawa, X.Z. Zhang, Phys. Rev. C 56, 3121 (1997)CrossRefADSGoogle Scholar
  21. 21.
    P.F. Bortignon, R.A. Broglia, Nucl. Phys. A 371, 405 (1981).ADSGoogle Scholar
  22. 22.
    G.F. Bertsch, P.F. Bortignon, R.A. Broglia, Rev. Mod. Phys. 55, 287 (1983).CrossRefADSGoogle Scholar
  23. 23.
    F. Ghielmetti, G. Colò, P.F. Bortignon, R.A. Broglia, E. Vigezzi, Phys. Rev. C 54, R2143 (1996).Google Scholar
  24. 24.
    J.F. Ziegler, G.A. Peterson, Phys. Rev. 165, 1337 (1968)CrossRefADSGoogle Scholar
  25. 25.
    J.R. Beene, Nucl. Phys. A 746, 471c (2004).ADSGoogle Scholar
  26. 26.
    G. Colò, P.F. Bortignon, Nucl. Phys. A 696, 427 (2001).ADSGoogle Scholar
  27. 27.
    D. Sarchi, P.F. Bortignon, G. Colò, Phys. Lett. B 601, 27 (2004).ADSGoogle Scholar
  28. 28.
    B.L. Berman, S.C. Fultz, Rev. Mod. Phys. 47, 713 (1975).CrossRefADSGoogle Scholar
  29. 29.
    J. Terasaki, Phys. Rev. C 71, 034310 (2005)CrossRefADSGoogle Scholar
  30. 30.
    A. Leprêtre, Nucl. Phys. A 367, 237 (1981).ADSGoogle Scholar
  31. 31.
    N. Ryezayeva, Phys. Rev. Lett. 89, 272502 (2002).CrossRefADSGoogle Scholar
  32. 32.
    R.H. Spear, Phys. Lett. B 128, 29 (1983).ADSGoogle Scholar
  33. 33.
    F.E. Bertrand, Nucl. Phys. A 354, 129c (1981).ADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  1. 1.DPTA/Service de Physique NucléaireBruyères-le-ChâtelFrance
  2. 2.Dipartimento di FisicaUniversità di Milano and INFNMilanoItaly

Personalised recommendations