Extension of the spectroscopic Monte Carlo method to realistic effective interactions

  • G. PudduEmail author
Original Article


We propose an extension of the spectroscopic Monte Carlo method to realistic effective interactions. The scheme is applied to the recently introduced GXPF1 interaction for fp nuclei for the ground state of 60Fe, 56Ni, 64Ni and 60Zn. The method hinges on the use of Hartree-Fock-Bogoliubov wave functions (properly projected before variation) and on a reformulation of the effective interaction so that it is a sum of negative squares of Hermitian one-quasi-particle operators, so the application of the Hubbard-Stratonovich transformation to the elementary propagator exp[- \( \hat{H}\)] gives a functional integral over a Hermitian propagator. Limitations and difficulties encountered in the calculation are discussed.


21.60.-n Nuclear structure models and methods 21.60.Ka Monte Carlo models 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    B.A. Brown, Prog. Part. Nucl. Phys. 47, 517 (2001).CrossRefGoogle Scholar
  2. 2.
    K.W. Schmid, Prog. Part. Nucl. Phys. 52, 565 (2004).CrossRefGoogle Scholar
  3. 3.
    K.W. Schmid, F. Grummer, Rep. Prog. Phys. 50, 731 (1987).CrossRefGoogle Scholar
  4. 4.
    E. Hammaren, K.W. Schmid, A. Faessler, Eur. Phys. J. A 2, 371 (1998)Google Scholar
  5. 5.
    J. Hubbard, Phys. Rev. Lett. 3, 77 (1959)CrossRefGoogle Scholar
  6. 6.
    T. Otsuka, M. Homna, T. Mizusaki, N. Shimizu, Y. Utsuno, Prog. Part. Nucl. Phys. 47, 319 (2001).CrossRefGoogle Scholar
  7. 7.
    G.H. Lang, C.W. Johnson, S.E. Koonin, W.E. Ormand, Phys. Rev. C 48, 1518 (1993)CrossRefGoogle Scholar
  8. 8.
    Y. Alhassid, D.J. Dean, S.E. Koonin, G. Lang, W.E. Ormand, Phys. Rev. Lett. 72, 613 (1994)CrossRefPubMedGoogle Scholar
  9. 9.
    E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, J. Retamosa, A.P. Zuker, Phys. Rev. C 59, 2033 (1999).CrossRefGoogle Scholar
  10. 10.
    M. Honma, T. Otsuka, B.A. Brown, T. Mizusaki, Phys. Rev. C 69, 034335 (2004).CrossRefGoogle Scholar
  11. 11.
    G. Puddu, Phys. Rev. C 67, 051304 (2003)CrossRefGoogle Scholar
  12. 12.
    G. Puddu, Acta Phys. Pol. B 35, 2121 (2004).Google Scholar
  13. 13.
    M. Honma, private communications.Google Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  1. 1.Dipartimento di FisicaUniversità di MilanoMilanoItaly
  2. 2.sezione di MilanoINFNMilanoItaly

Personalised recommendations