A Hartree-Fock nuclear mass formula

  • J.M. Pearson
  • S. Goriely
  • M. Samyn

Abstract:

We recall the main features of the recently published mass formula, HFBCS-1, based on the Hartree-Fock-BCS method, and compare its extrapolations out to the neutron drip line with those given by the fine-range droplet model. A new Hartree-Fock-Bogolyubov mass formula, HFB-1, is described: the rms error of the fit to 1888 masses is 0.766 MeV, compared with 0 .738 MeV for HFBCS-1, but there are no substantial changes in the predictions relevant to the r-process. After a critical examination of various questions relating to the effective nucleon mass and to the requirements of the relativistic mean-field theory, we conclude that the greatest remaining ambiguity concerns the nature of the pairing force.

PACS. 21.10.Dr Binding energies and masses – 21.60.Jz Hartree-Fock and random-phase approximations – 21.65.+f Nuclear matter 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2002

Authors and Affiliations

  • J.M. Pearson
    • 1
  • S. Goriely
    • 2
  • M. Samyn
    • 2
  1. 1.Département de Physique, Université de Montréal, Montréal (Québec), H3C 3J7 CanadaCA
  2. 2.Institut d'Astronomie et d'Astrophysique, CP-226, Université Libre de Bruxelles, Campus de la Plaine, Boulevard du Triomphe, B-1050 Brussels, BelgiumBE

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