Ab initio-driven nuclear energy density functional method: A proposal for safe/correlated/improvable parametrizations of the off-diagonal EDF kernels

T. Duguet 1 M. Bender 2 J.-P. Ebran 3 T. Lesinski 4 And V. Somà 5
1 CIRIMAT - Centre interuniversitaire de recherche et d'ingenierie des matériaux
2 CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
3 DAM/DIF - DAM Île-de-France
4 IPNL - Institut de Physique Nucléaire de Lyon
5 Department of Mechanics
Abstract : This programmatic paper lays down the possibility to reconcile the necessity to resum many-body correlations into the energy kernel with the fact that safe multi-reference energy density functional (EDF) calculations cannot be achieved whenever the Pauli principle is not enforced, as is for example the case when many-body correlations are parametrized under the form of empirical density dependencies. Our proposal is to exploit a newly developed ab initio many-body formalism to guide the construction of safe, explicitly correlated and ystematically improvable parametrizations of the off-diagonal energy and norm kernels that lie at the heart of the nuclear EDF method. The many-body formalism of interest relies on the concepts of symmetry breaking and restoration that have made the fortune of the nuclear EDF method and is, as such, menable to this guidance. After elaborating on our proposal, we briefly outline the project we plan to execute in the years to come.
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Journal articles
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Submitted on : Wednesday, March 9, 2016 - 2:51:41 PM
Last modification on : Friday, January 10, 2020 - 9:08:23 PM

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T. Duguet, M. Bender, J.-P. Ebran, T. Lesinski, And V. Somà. Ab initio-driven nuclear energy density functional method: A proposal for safe/correlated/improvable parametrizations of the off-diagonal EDF kernels. European Physical Journal: Applied Physics, EDP Sciences, 2015, 51, pp.162. ⟨10.1140/epja/i2015-15162-4⟩. ⟨in2p3-01285591⟩

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