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Theoretical uncertainties of the Duflo-Zuker shell-model mass formulae
KTH, School of Engineering Sciences (SCI), Physics, Nuclear Physics.ORCID iD: 0000-0002-1406-5695
2015 (English)In: Journal of Physics G: Nuclear and Particle Physics, ISSN 0954-3899, E-ISSN 1361-6471, Vol. 42, no 4, 045104Article in journal (Refereed) Published
Abstract [en]

It is becoming increasingly important to understand the uncertainties of nuclear mass model calculations and their limitations when extrapolating to driplines. In this paper we evaluate the parameter uncertainties of the Duflo-Zuker (DZ) shell model mass formulae by fitting to the latest experimental mass compilation AME2012 using the least square and minimax fitting procedures. We also analyze the propagation of the uncertainties in binding energy calculations when extrapolated to driplines. The parameter uncertainties and uncertain propagations are evaluated with the help of the covariance matrix thus derived. Large deviations from the extrapolations of AME2012 are seen in superheavy nuclei. A simplified version of the DZ model (DZ19) with much smaller uncertainties than that of DZ33 is proposed. Calculations are compared with results from other mass formulae. Systematics on the uncertainty propagation as well as the positions of the driplines are also presented. The DZ mass formulae are shown to be well defined with good extrapolation properties and rather small uncertainties, even though some of the parameters of the full DZ33 model cannot be fully determined by fitting to available experimental data.

Place, publisher, year, edition, pages
2015. Vol. 42, no 4, 045104
Keyword [en]
mass formula, shell model, theoretical uncertainty
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-163958DOI: 10.1088/0954-3899/42/4/045104ISI: 000350811300006ScopusID: 2-s2.0-84949116026OAI: diva2:810553

QC 20150507

Available from: 2015-05-07 Created: 2015-04-13 Last updated: 2015-05-07Bibliographically approved

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Qi, Chong
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