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First exploratory steps towards a pseudo-potential-based Skyrme energy density functional for spuriousity-free multi-reference calculations are presented. A qualitatively acceptable fit can be accomplished by adding simple three- and…

Nuclear Theory · Physics 2013-10-22 J. Sadoudi , M. Bender , K. Bennaceur , D. Davesne , R. Jodon , T. Duguet

There is an ongoing quest to improve on the spectroscopic quality of nuclear energy density functionals (EDFs) of the Skyrme type through extensions of its traditional form. One direction for such activities is the inclusion of terms of…

Nuclear Theory · Physics 2021-10-12 Wouter Ryssens , Michael Bender

The problem of the effective mass scaling in the single particle spectra calculated within the Skyrme energy density functional (EDF) method is studied. It is demonstrated that for specific pairs of orbitals the commonly anticipated…

Nuclear Theory · Physics 2008-11-26 W. Satula , R. A. Wyss , M. Zalewski

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…

Nuclear Theory · Physics 2016-01-27 T. Duguet , M. Bender , J. -P. Ebran , T. Lesinski , V. Somà

Nuclear density functional theory is the only microscopical theory that can be applied throughout the entire nuclear landscape. Its key ingredient is the energy density functional. In this work, we propose a new parameterization UNEDF2 of…

We propose to use two-body regularized finite-range pseudopotential to generate nuclear energy density functional (EDF) in both particle-hole and particle-particle channels, which makes it free from self-interaction and self-pairing, and…

Nuclear Theory · Physics 2017-10-27 K. Bennaceur , A. Idini , J. Dobaczewski , P. Dobaczewski , M. Kortelainen , F. Raimondi

We present the first application of a new approach, proposed in [Journal of Physics G: Nuclear and Particle Physics, 43, 04LT01 (2016)] to derive coupling constants of the Skyrme energy density functional (EDF) from ab initio Hamiltonian.…

Nuclear Theory · Physics 2020-09-03 G. Salvioni , J. Dobaczewski , C. Barbieri , G. Carlsson , A. Idini , A. Pastore

New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

The present document focuses on the theoretical foundations of the nuclear energy density functional (EDF) method. As such, it does not aim at reviewing the status of the field, at covering all possible ramifications of the approach or at…

Nuclear Theory · Physics 2015-06-17 T. Duguet

Multi-reference calculations along the lines of the Generator Coordinate Method or the restoration of broken symmetries within the nuclear Energy Density Functional (EDF) framework are becoming a standard tool in nuclear structure physics.…

Nuclear Theory · Physics 2011-08-17 D. Lacroix , T. Duguet , M. Bender

The saturation of symmetric nuclear matter -- reflected in the nearly constant interior density of heavy nuclei -- is a defining property of nuclear matter. Modern relativistic energy density functionals (EDFs) calibrated exclusively to the…

Nuclear Theory · Physics 2025-12-30 Md Jafrul Islam , Athul Kunjipurayil , J. Piekarewicz , A. Volya

Based on the phenomenological Skyrme interaction various density-dependent nuclear matter quantities are calculated up to second order in many-body perturbation theory. The spin-orbit term as well as two tensor terms contribute at second…

Nuclear Theory · Physics 2015-09-02 N. Kaiser

Large-scale applications of energy density functional (EDF) methods depend on fast and reliable algorithms to solve the associated non-linear self-consistency problem. When dealing with large single-particle variational spaces, existing…

Nuclear Theory · Physics 2019-06-24 W. Ryssens , M. Bender , P. -H. Heenen

[Background] Symmetry restoration and configuration mixing in the spirit of the generator coordinate method based on energy density functionals have become widely used techniques in low-energy nuclear structure physics. Recently, it has…

Nuclear Theory · Physics 2012-11-27 K. Washiyama , K. Bennaceur , B. Avez , M. Bender , P. -H. Heenen , V. Hellemans

Configuration mixing calculations performed in terms of the Skyrme/Gogny Energy Density Functional (EDF) rely on extending the Single-Reference energy functional into non-diagonal EDF kernels. The standard way to do so, based on an analogy…

Nuclear Theory · Physics 2009-12-17 Denis Lacroix , Michael Bender , Thomas Duguet

we use the nuclear proximity potential obtained recently for the Skyrme nucleus-nucleus interaction in the semiclassical extended Thomas Fermi (ETF) approach using Skyrme energy density formalism (SEDF) under frozen-density…

Nuclear Theory · Physics 2010-10-07 Raj Kumar , Raj K Gupta

Over the past decade, machine learning has been successfully applied in various fields of science. In this study, we employ a deep learning method to analyze a Skyrme energy density functional (Skyrme-EDF), that is a Kohn-Sham type…

Nuclear Theory · Physics 2023-06-28 N. Hizawa , K. Hagino , K. Yoshida

Many common Skyrme functionals present ferromagnetic instabilities or unrealistic density dependence of the spin-dependent Landau parameters. To solve these problems, we consider the Skyrme interaction as a density-functional rather than a…

Nuclear Theory · Physics 2025-11-04 Mingya Duan , Michael Urban

We introduce a finite-range pseudopotential built as an expansion in derivatives up to next-to-next-to-next-to-leading order (N$^3$LO) and we calculate the corresponding nonlocal energy density functional (EDF). The coupling constants of…

Nuclear Theory · Physics 2015-06-18 F. Raimondi , K. Bennaceur , J. Dobaczewski

We study systematically the impact of the time-even tensor terms of the Skyrme energy density functional, i.e. terms bilinear in the spin-current tensor density, on deformation properties of closed shell nuclei corresponding to 20, 28, 40,…

Nuclear Theory · Physics 2009-12-14 M. Bender , K. Bennaceur , T. Duguet , P. -H. Heenen , T. Lesinski , J. Meyer
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