An upper limit of ground-state energy fluctuations in nuclear masses - IN2P3 - Institut national de physique nucléaire et de physique des particules
Communication Dans Un Congrès Physica Scripta Année : 2006

An upper limit of ground-state energy fluctuations in nuclear masses

J.G. Hirsch
  • Fonction : Auteur
V. Velazquez
  • Fonction : Auteur
A. Frank
  • Fonction : Auteur
J. Barea
  • Fonction : Auteur

Résumé

Shell model calculations are employed to estimate an upper limit of statistical fluctuations in the nuclear ground-state energies. In order to mimic the presence of quantum chaos associated with neutron resonances at energies between 6 and 10 MeV, calculations include random interactions in the upper shells. The upper bound for the energy fluctuations at mid-shell is shown to have the form σ(A)20 A-1.34 MeV. This estimate is consistent with the mass errors found in large-shell model calculations along the N=126 line, and with local mass error estimated using the Garvey–Kelson relations, all being smaller than 100 keV. It agrees in both size and functional form with the fluctuations deduced independently from second-order perturbation theory.

Dates et versions

in2p3-00089292 , version 1 (17-08-2006)

Identifiants

Citer

J.G. Hirsch, V. Velazquez, A. Frank, J. Barea, P. van Isacker, et al.. An upper limit of ground-state energy fluctuations in nuclear masses. International Conference on Finite Fermionic Systems: Nilsson Model 50 Years, Jun 2005, Lund, Sweden. pp.158-161, ⟨10.1088/0031-8949/2006/T125/036⟩. ⟨in2p3-00089292⟩
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