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An upper limit to ground state energy fluctuations in nuclear masses

Abstract : Shell model calculations are employed to estimate un 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 to 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 $\sigma$(A) $\approx$ 20A^{-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
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http://hal.in2p3.fr/in2p3-00157316
Contributor : Béatrice Forrler <>
Submitted on : Monday, June 25, 2007 - 5:04:15 PM
Last modification on : Friday, May 8, 2020 - 1:10:17 AM

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J.G. Hirsch, V. Velázquez, A. Frank, J. Barea, P. van Isacker, et al.. An upper limit to ground state energy fluctuations in nuclear masses. VI Latin American Symposium on Nuclear Physics and Applications, Oct 2005, Iguazu, Argentina. pp.153-157, ⟨10.1063/1.2710572⟩. ⟨in2p3-00157316⟩

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