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A new alternative approach to calculate the ratio of the surface to volume components of the nuclear symmetry energy is proposed in the framework of the coherent density fluctuation model (CDFM). A new expression (scheme II) for the ratio…

The framework of relativistic energy density functionals is extended to include correlations related to the restoration of broken symmetries and to fluctuations of collective variables. The generator coordinate method is used to perform…

Nuclear Theory · Physics 2010-04-29 J. M. Yao , J. Meng , P. Ring , D. Vretenar

Kinetic energy density functionals (KEDFs) are central to orbital-free density functional theory. Limitations on the spatial derivative dependencies of KEDFs have been claimed from differential virial theorems. We point out a central defect…

Chemical Physics · Physics 2018-03-14 Kai Luo , S. B. Trickey

We present a comprehensive study of low-lying states in even-even Ne, Mg, Si, S, Ar isotopes with the multireference density functional theory (MR-DFT) based on a relativistic point-coupling energy density functional (EDF). Beyond…

Nuclear Theory · Physics 2015-12-09 Xian-Ye Wu , Xian-Rong Zhou

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

DFT calculations have become widespread in both chemistry and materials, because they usually provide useful accuracy at much lower computational cost than wavefunction-based methods. All practical DFT calculations require an approximation…

Chemical Physics · Physics 2022-03-15 Eunji Sim , Suhwan Song , Stefan Vuckovic , Kieron Burke

We present results of calculations based on the Skyrme energy density functional including the arbitrary mixing between protons and neutrons. In this framework, single-particle states are superpositions of proton and neutron components and…

Nuclear Theory · Physics 2015-06-16 Koichi Sato , Jacek Dobaczewski , Takashi Nakatsukasa , Wojciech Satuła

For the kinetic energy of 1d model finite systems the leading corrections to local approximations as a functional of the potential are derived using semiclassical methods. The corrections are simple, non-local functionals of the potential.…

Other Condensed Matter · Physics 2010-06-25 Attila Cangi , Donghyung Lee , Peter Elliott , Kieron Burke

The Skyrme energy density functional has been applied to the study of heavy-ion fusion reactions. The barriers for fusion reactions are calculated by the Skyrme energy density functional with proton and neutron density distributions…

Nuclear Theory · Physics 2009-11-11 Min Liu , Ning Wang , Zhuxia Li , Xizhen Wu , Enguang Zhao

Recent work has focused on the problem of nonparametric estimation of information divergence functionals. Many existing approaches are restrictive in their assumptions on the density support set or require difficult calculations at the…

Information Theory · Computer Science 2021-07-30 Kevin R. Moon , Kumar Sricharan , Kristjan Greenewald , Alfred O. Hero

Accurate solution of the many-electron problem including correlations remains intractable except for few-electron systems. Describing interacting electrons as a superposition of independent electron configurations results in an apparent…

Computational Physics · Physics 2024-02-20 J. C. Greer

We obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean $AdS_{3}\times S^{3}\times T^{4}$. We reduce the problem to the…

High Energy Physics - Theory · Physics 2020-03-11 Rafael Hernandez , Juan Miguel Nieto , Roberto Ruiz

The use of energy functionals based on density as the basic variable is advocated for ab initio molecular dynamics. It is demonstrated that the constraint of positivity of density can be incorporated easily by using square root density for…

Condensed Matter · Physics 2009-10-22 Vaishali Shah , Dinesh Nehete , D. G. Kanhere

A new phenomenological dark energy model, originally associated to the large-scale structure formation and considered as a solution to the fine-tuning and coincidence problems related to the cosmological constant, was analyzed within the…

General Relativity and Quantum Cosmology · Physics 2026-03-05 A. Kazım Çamlıbel

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

Systematic calculations of favored signature maximum-spin I_max and unfavored signature I_max - 1 terminating states for [f 7/2 ^ n] and [d 3/2 ^ (-1) f 7/2 ^ (n+1)] configurations (n denotes number of valence particles) in A ~ 44 mass…

Nuclear Theory · Physics 2007-05-23 M. Zalewski , W. Satula

Elements of nuclear symmetry energy evaluated from different energy density functionals parametrized by fitting selective bulk properties of few representative nuclei are seen to vary widely. Those obtained from experimental data on nuclear…

Nuclear Theory · Physics 2015-08-07 C. Mondal , B. K. Agrawal , J. N. De

The present paper is the second of a series of publications that aim at investigating relevant directions to turn the nuclear energy density functional (EDF) method as an effective field theory (EFT). The EDF approach has known numerous…

Strongly Correlated Electrons · Physics 2024-03-07 Kilian Fraboulet , Jean-Paul Ebran

The parameters of the UNEDF2 nuclear energy density functional (EDF) model were obtained in an optimization to experimental data consisting of nuclear binding energies, proton radii, odd-even mass staggering data, fission-isomer excitation…

The Charge-Symmetry-Breaking (CSB) character of the nucleon-nucleon interaction is well established. This work presents two different ways of introducing such effects into a nuclear Energy Density Functional (EDF). CSB terms are either…

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