Effects of particle-vibration coupling on the hartree-fock potential

  • V. Bernard
  • Nguyen Van Giai
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 89)


We have calculated the optical potential in the case of low energy neutron — 208Pb scattering using an effective Skyrme interaction. In addition to the HF potential we have obtained the complex correction potential ΔV due to the excitation of the low lying collective states and the giant resonances. The potential ΔV is localized at the nuclear surface because of the particular density dependence of the force we used. A larger effect in the interior region is needed, especially for the absorptive potential which should have a volume part. Such an effect could be obtained if one used a force with a weaker density dependence than the force SIII.

To investigate further the properties of our calculated potential, scattering cross-sections must be computed. The preliminary results we have obtained recently for the elastic differential cross-section at 15 MeV without renormalizing the potential Vloc(r) + iWloc(r) are very encouraging.


Optical Potential Skyrme Force Absorptive Potential Skyrme Type Local Equivalent Potential 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1).
    D. Vautherin and D.M. Brink, Phys. Rev. C5 (1972) 626ADSGoogle Scholar
  2. 2).
    M. Beiner, H. Flocard, Nguyen Van Giai and P. Quentin, Nucl. Phys. A238 (1975) 29ADSGoogle Scholar
  3. 3).
    J.W. Negele, Phys. Rev. C1 (1970) 1260ADSGoogle Scholar
  4. 4).
    X. Campi and D.W.L. Sprung, Nucl. Phys. A194 (1972) 401ADSGoogle Scholar
  5. 5).
    C.B. Dover and Nguyen Van Giai, Nucl. Phys. A190 (1972) 373ADSGoogle Scholar
  6. 6).
    J.P. Jeukenne, A. Lejeune and C. Mahaux, Proc. Int. Conference on Nuclear Self-Consistent Fields, Trieste (1975) p.155Google Scholar
  7. 7).
    F. Brieva and J.R. Rook, Nucl. Phys. A291 (1977) 299; A291 (1977) 317ADSGoogle Scholar
  8. 8).
    N. Vinh Mau and A. Bouyssy, Nucl. Phys. A257 (1976) 189ADSGoogle Scholar
  9. 9).
    A. Bouyssy, H. Ngô and N. Vinh Mau, Contribution to this ConferenceGoogle Scholar
  10. 10).
    V. Bernard, Thèse de 3è Cycle, Université Paris-Sud (1978)Google Scholar
  11. 11).
    V. Bernard and Nguyen van Giai, to be publishedGoogle Scholar
  12. 12).
    N. Vinh Mau, Theory of Nuclear Structure (IAEA, Vienna 1970) p.931Google Scholar
  13. 13).
    J.W. Negele and D. Vautherin, Phys. Rev. C5 (1972) 472ADSGoogle Scholar
  14. 14).
    G.F. Bertsch and S.F. Tsai, Phys. Reports 18C (1975) 126ADSGoogle Scholar
  15. 15).
    K.F. Liu and Nguyen van Giai, Phys. Lett. 65B (1976) 23ADSGoogle Scholar
  16. 16).
    F. Perey and D.S. Saxon, Phys. Lett. 10 (1964) 107CrossRefADSGoogle Scholar
  17. 17).
    S. Kailas and S.K. Gupta, Phys. Lett. 71B (1977) 271.ADSGoogle Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • V. Bernard
    • 1
  • Nguyen Van Giai
    • 1
  1. 1.Division de Physique ThéoriqueInstitute de Physique NucléaireORSAY CedexFrance

Personalised recommendations