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Nuclear density functional theory provides a unified description of finite nuclei and bulk nuclear matter, and is widely used to model the neutron star equation of state. However, extrapolations to supra-saturation densities require a…

From the lightest Hydrogen isotopes up to the recently synthesized Oganesson (Z=118), it is estimated that as many as about 3000 atomic nuclei could exist in nature. Most of these nuclei are too short-lived to be occurring on Earth, but…

We present a theoretical framework to quantify statistical uncertainties in covariant density functional theory (CDFT) for both nuclear matter and finite nuclei, based on a relativistic point-coupling energy density functional (EDF). By…

Nuclear Theory · Physics 2026-04-10 X. Zhang , C. C. Wang , C. R. Ding , J. M. Yao

The framework of nuclear energy density functionals is applied to a study of the formation and evolution of cluster states in nuclei. The relativistic functional DD-ME2 is used in triaxial and reflection-asymmetric relativistic…

Nuclear Theory · Physics 2015-06-19 J. P. Ebran , E. Khan , T. Niksic , D. Vretenar

Nuclear energy density functionals (EDFs) have a long history of success in reproducing properties of nuclei across the table of the nuclides. They capture quantitatively the emergent features of bound nuclei, such as nuclear saturation and…

Nuclear Theory · Physics 2020-06-24 R. J. Furnstahl

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

Density functional theory (DFT) is an essential building block for modern theoretical physics, chemistry, and engineering, especially those concerning electronic properties. Through decades of development, various program packages for…

Materials Science · Physics 2022-11-21 Yusuke Nomura , Ryosuke Akashi

We seek to obtain a usable form of the nuclear energy density functional that is rooted in the modern theory of nuclear forces. We thus consider a functional obtained from the density matrix expansion of local nuclear potentials from chiral…

Nuclear Theory · Physics 2018-05-23 R. Navarro Perez , N. Schunck , A. Dyhdalo , R. J. Furnstahl , S. K. Bogner

While ab initio many-body techniques have been able to successfully describe the properties of light and intermediate mass nuclei based on chiral effective field theory interactions, neutron-rich nuclei still remain out of reach for these…

Nuclear Theory · Physics 2020-01-08 R. Navarro Pérez , N. Schunck

The spectroscopic quality of covariant density functional theory has been accessed by analyzing the accuracy and theoretical uncertainties in the description of spectroscopic observables. Such analysis is first presented for the energies of…

Nuclear Theory · Physics 2015-08-25 A. V. Afanasjev

The density profiles of around 750 nuclei are analyzed using the Skyrme energy density functional theory. Among them, more than 350 nuclei are found to be deformed. In addition to rather standard properties of the density, we report a…

Nuclear Theory · Physics 2015-06-17 G. Scamps , D. Lacroix , G. G. Adamian , N. V. Antonenko

Accurate description of deformed atomic nuclei by the orbital-free density functional theory has been a longstanding textbook challenge, due to the difficulty in accounting for the intricate quantum shell effects that are present in such…

Nuclear Theory · Physics 2024-12-31 X. H. Wu , Z. X. Ren , P. W. Zhao

Energy density functional (EDF) theory provides a unified framework for the description of nuclei and of infinite nuclear matter. In principle, it facilitates direct connections between nuclear data and the nuclear equation of state (EoS).…

Nuclear Theory · Physics 2025-12-01 Panagiota Papakonstantinou

The density functional theory (DFT) is based on the existence and uniqueness of a universal functional $E[\rho]$, which determines the dependence of the total energy on single-particle density distributions. However, DFT says nothing about…

Nuclear Theory · Physics 2017-04-26 Hana Gil , Panagiota Papakonstantinou , Chang Ho Hyun , Tae-Sun Park , Yongseok Oh

Parameters of the nuclear density functional theory (DFT) models are usually adjusted to experimental data. As a result they carry certain theoretical error, which, as a consequence, carries out to the predicted quantities. In this work we…

Nuclear Theory · Physics 2015-06-22 Markus Kortelainen

The program of systematic large-scale self-consistent nuclear mass calculations that is based on the nuclear density functional theory represents a rich scientific agenda that is closely aligned with the main research directions in modern…

Nuclear Theory · Physics 2015-06-26 M. V. Stoitsov , J. Dobaczewski , W. Nazarewicz , P. Borycki

The restoration of particle number within Energy Density Functional theory is analyzed. It is shown that the standard method based on configuration mixing leads to a functional of both the projected and non-projected densities. As an…

Nuclear Theory · Physics 2011-08-08 Guillaume Hupin , Denis Lacroix , Michael Bender

A comprehensive assessment of theoretical uncertainties defines an important frontier in nuclear structure research. Ideally, theory predictions include uncertainty estimates that take into account truncation effects from both the…

Nuclear Theory · Physics 2026-02-23 Isak Svensson , Alexander Tichai , Kai Hebeler , Achim Schwenk

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

To explore the applicability of orbital-free density functional theory (OF-DFT) in nuclear physics, we perform a systematic benchmark of 36 one-point kinetic energy density functionals, which are originally developed for electron systems in…

Nuclear Theory · Physics 2026-05-20 Tian Shuai Shang , Jian Li , Haozhao Liang , Xinhui Wu , Cheng Ma , Wenhui Mi , Xuecheng Shao , Yanchao Wang