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In spite of numerous scientific and practical applications, there is still no comprehensive theoretical description of the nuclear fission process based solely on protons, neutrons and their interactions. The most advanced simulations of…

Nuclear Theory · Physics 2025-10-29 N. Schunck , K. R. Quinlan , J. Bernstein

Electromagnetic interactions serve as essential probes for studying and testing our understanding of the atomic nucleus, as they reveal emergent properties across the nuclear chart. We analyse their corresponding observables, which relate…

Nuclear Theory · Physics 2026-05-13 J. Dobaczewski , B. C. Backes , R. P. de Groote , A. Restrepo-Giraldo , X. Sun , H. Wibowo

We present the basic concepts and our recent developments in the density functional approaches with the Skyrme functionals for describing nuclear dynamics at low energy. The time-dependent density-functional theory (TDDFT) is utilized for…

Nuclear Theory · Physics 2013-10-16 Takashi Nakatsukasa

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

We present the basic concepts and recent developments in the time-dependent density functional theory (TDDFT) for describing nuclear dynamics at low energy. The symmetry breaking is inherent in nuclear energy density functionals (EDFs),…

Nuclear Theory · Physics 2016-12-21 Takashi Nakatsukasa , Kenichi Matsuyanagi , Masayuki Matsuo , Kazuhiro Yabana

Background: Nuclear fission is a complex large-amplitude collective decay mode in heavy nuclei. Microscopic density functional studies of fission have previously concentrated on adiabatic approaches based on constrained static calculations…

Nuclear Theory · Physics 2015-11-18 P. M. Goddard , P. D. Stevenson , A. Rios

Large-scale computations of fission properties are an important ingredient for nuclear reaction network calculations simulating rapid neutron-capture process (the r process) nucleosynthesis. Due to the large number of fissioning nuclei…

Nuclear Theory · Physics 2024-04-04 Daniel Lay , Eric Flynn , Samuel A. Giuliani , Witold Nazarewicz , Leó Neufcourt

The Skyrme nuclear energy density functional theory (DFT) is used to model neutron-induced fission in actinides. This paper focuses on the numerical implementation of the theory. In particular, it reports recent advances in DFT code…

Nuclear Theory · Physics 2015-06-12 N. Schunck

The intrinsic nuclear shapes deviating from a sphere not only manifest themselves in nuclear collective states but also play important roles in determining nuclear potential energy surfaces (PES's) and fission barriers. In order to describe…

Nuclear Theory · Physics 2016-05-24 Shan-Gui Zhou

Within the nuclear DFT framework, employing the Skyrme UNEDF1 functional and incorporating pairing correlations, we determined the spectroscopic electric quadrupole and magnetic dipole moments of the $\nu11/2^{-}$ and $\pi7/2^{+}$…

Within the nuclear DFT approach, we determined the magnetic dipole and electric quadrupole moments for paired nuclear states corresponding to the proton (neutron) quasiparticles blocked in the p11/2- (n13/2+) intruder configurations. We…

Nuclear Theory · Physics 2023-08-22 J. Bonnard , J. Dobaczewski , G. Danneaux , M. Kortelainen

The present contribution does not aim at replacing the huge and often excellent literature on DFT for atomic nuclei, but tries to provide an updated introduction to this topic. The goal would be, ideally, to help a fresh M.Sc. or Ph.D.…

Nuclear Theory · Physics 2019-08-09 G. Colò

The modeling of nuclear reactions and radioactive decays in astrophysical or earth-based conditions requires detailed knowledge of the masses of essentially all nuclei. Microscopic mass models based on nuclear energy density functionals…

Nuclear Theory · Physics 2022-01-05 Guillaume Scamps , Stephane Goriely , Erik Olsen , Michael Bender , Wouter Ryssens

The time-dependent version of nuclear density functional theory, using functionals derived from Skyrme interactions, is able to approximately describe nuclear dynamics. We present time-dependent results of calculations of dipole resonances,…

Nuclear Theory · Physics 2016-02-17 P. D. Stevenson

Improving the predictive capability of molecular properties in ab initio simulations is essential for advanced material discovery. Despite recent progress making use of machine learning, utilizing deep neural networks to improve quantum…

Chemical Physics · Physics 2021-09-22 Muhammad F. Kasim , Sam M. Vinko

Eighty years after its experimental discovery, a microscopic description of induced nuclear fission based solely on the interactions between neutrons and protons and quantum many-body methods still poses formidable challenges. The goal of…

Nuclear Theory · Physics 2015-06-17 N. Schunck , D. Duke , H. Carr , A. Knoll

Multipole moments are the first order responses of the energy to spatial derivatives of the electric field strength. The quality of density functional theory (DFT) prediction of molecular multipole moments thus characterizes errors in…

Chemical Physics · Physics 2021-02-23 Diptarka Hait , Yu Hsuan Liang , Martin Head-Gordon

Relativistic energy density functionals (REDF) provide a complete and accurate, global description of nuclear structure phenomena. A modern semi-empirical functional, adjusted to the nuclear matter equation of state and to empirical masses…

Nuclear Theory · Physics 2015-06-05 V. Prassa , T. Niksic , G. A. Lalazissis , D. Vretenar

Atomic nuclei exhibit multiple energy scales ranging from hundreds of MeV in binding energies to fractions of an MeV for low-lying collective excitations. As the limits of nuclear binding is approached near the neutron- and proton…

Nuclear Theory · Physics 2025-02-20 Z. H. Sun , A. Ekström , C. Forssén , G. Hagen , G. R. Jansen , T. Papenbrock

An electron density functional approach for the calculation of the nuclear multipole moments is presented. The electronic matrix elements entering the experimentally observed hyperfine electron-nucleus interaction constants in atoms are…

Nuclear Theory · Physics 2007-05-23 R. L. Pavlov , P. P. Raychev , V. P. Garistov , M. Dimitrova-Ivanovich , J. Maruani
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