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This work continues a program to systematically generalize the Skyrme Hartree-Fock method for medium and heavy nuclei by applying effective field theory (EFT) methods to Kohn-Sham density functional theory (DFT). When conventional Kohn-Sham…

Nuclear Theory · Physics 2007-05-23 Anirban Bhattacharyya , R. J. Furnstahl

A microscopic framework of nuclear energy density functionals is reviewed, which establishes a direct relation between low-energy QCD and nuclear structure, synthesizing effective field theory methods and principles of density functional…

Nuclear Theory · Physics 2008-11-26 Dario Vretenar

We present background concepts of the nuclear density functional theory (DFT) and applications of the time-dependent DFT with the Skyrme energy functional for nuclear response functions. Practical methods for numerical applications of the…

Nuclear Theory · Physics 2013-10-16 T. Nakatsukasa , S. Ebata , P. Avogadro , L. Guo , T. Inakura , K. Yoshida

The equation of state of asymmetric nuclear matter as well as the neutron and proton effective masses and their partial-wave and spin-isospin decomposition are analyzed within the Brueckner--Hartree--Fock approach. Theoretical uncertainties…

Nuclear Theory · Physics 2024-04-05 Isaac Vidaña , Jérôme Margueron , Hans-Josef Schulze

A model is developed, based on the density functional perturbation theory and the inverse Kohn-Sham method, that can be used to improve relativistic nuclear energy density functionals towards an exact but unknown Kohn-Sham…

Nuclear Theory · Physics 2021-04-28 Giacomo Accorto , Tomoya Naito , Haozhao Liang , Tamara Niksic , Dario Vretenar

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 ground-state properties of superfluid nuclear systems with ^1S_0 pairing are studied within a local energy-density functional (LEDF) approach. A new form of the LEDF is proposed with a volume part which fits the Friedman- Pandharipande…

Nuclear Theory · Physics 2011-04-15 S. A. Fayans , D. Zawischa

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

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

The density functional theory of nuclear structure provides a many-particle wave function that is useful for static properties, but an extension of the theory is necessary to describe correlation effects or other dynamic properties. Here we…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid , G. F. Bertsch , L. Fang , B. Sabbey

Background: The Skyrme energy density functional is widely used in mean-field calculations of nuclear structure and dynamics. However, its reliance on phenomenology may compromise its isovector properties and its performance for exotic…

Nuclear Theory · Physics 2017-04-27 E. McRae , C. Simenel , E. C. Simpson , A. W. Thomas

We extend a recent calculation of the nuclear energy density functional in the systematic framework of chiral perturbation theory by computing the isovector spin-orbit terms: $(\vec \nabla \rho_p- \vec \nabla \rho_n)\cdot(\vec J_p-\vec J_n)…

Nuclear Theory · Physics 2009-11-10 N. Kaiser

A microscopic description of nuclear fission represents one of the most challenging problems in nuclear theory. While phenomenological coordinates, such as multipole moments, have often been employed to describe fission, it is not obvious…

Nuclear Theory · Physics 2023-10-19 N. Hizawa , K. Hagino

We have performed calculations based on the Skyrme energy density functional (EDF) that includes arbitrary mixing between protons and neutrons. In this framework, single-particle states are generalized as mixtures of proton and neutron…

Nuclear Theory · Physics 2016-01-18 Koichi Sato , Jacek Dobaczewski , Takashi Nakatsukasa , Wojciech Satuła

We discuss the GUDE functionals which consist of pion exchanges derived from chiral effective field theory and a Skyrme-like part. Certain pion terms lead to significant improvements in the description of ground-state energies, indicating…

Nuclear Theory · Physics 2025-04-15 Lars Zurek

The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

The nuclear $\alpha$ decay of heavy nuclei is investigated based on the nuclear energy density functional, which leads to the $\alpha$ potential inside the parent nucleus in terms of the proton and neutron density profiles of the daughter…

Nuclear Theory · Physics 2017-03-22 Yeunhwan Lim , Yongseok Oh

Energy for a nucleus is considered in macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg-Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme-Hartree-Fock…

Nuclear Theory · Physics 2009-11-13 Pawel Danielewicz , Jenny Lee

A recently introduced analytical model for the nuclear density profile[1] is implemented in the Extended Thomas-Fermi (ETF) energy density functional. This allows to (i) shed a new light on the issue of the sign of surface symmetry energy…

Nuclear Theory · Physics 2014-07-10 Francois Aymard , Francesca Gulminelli , Jérôme Margueron

Understanding the mechanisms of induced nuclear fission for a broad range of neutron energies could help resolve fundamental science issues, such as the formation of elements in the universe, but could have also a large impact on societal…

Nuclear Theory · Physics 2015-03-26 N. Schunck , D. Duke , H. Carr
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