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NUCLEAR MEAN-FIELD HAMILTONIANS AND FACTORS LIMITING THEIR SPECTROSCOPIC PREDICTIVE POWER: ILLUSTRATIONS

B. Szpak J. Dudek 1 M. G. Porquet 2 K. Rybak 1 H. Molique 1 B. Fornal
1 IPHC - Institut Pluridisciplinaire Hubert Curien
2 CSNSM - Centre de Spectrométrie Nucléaire et de Spectrométrie de Masse
Abstract : Determination of the mean-field Hamiltonian parameters can be seen as gathering information about all the single-particle states out of a very partial information on only a few experimentally known levels. This is exactly what the inverse problem in applied mathematics is about. We illustrate some of the related concepts in view of a preparation of the fully statistically significant parameter adjustment procedures. For this purpose we construct the exactly soluble inverse problems associated with the realistic and phenomenologically powerful nuclear Woods-Saxon Hamiltonian and we analyse a few both physical and mathematical aspects of such procedures. Presented illustrations suggest that to be able to discuss the predictive power of the mean-field Hamiltonians the parameter adjustment procedures must be based on a relatively complex statistical analysis partially addressed in Ref.(1)
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http://hal.in2p3.fr/in2p3-00667391
Contributor : Christine Hadrossek <>
Submitted on : Thursday, February 9, 2012 - 4:21:43 PM
Last modification on : Wednesday, September 16, 2020 - 4:17:40 PM

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B. Szpak, J. Dudek, M. G. Porquet, K. Rybak, H. Molique, et al.. NUCLEAR MEAN-FIELD HAMILTONIANS AND FACTORS LIMITING THEIR SPECTROSCOPIC PREDICTIVE POWER: ILLUSTRATIONS. International Journal of Modern Physics E, World Scientific Publishing, 2010, 19, pp.665-671. ⟨10.1142/S0218301310015072⟩. ⟨in2p3-00667391⟩

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