English
Related papers

Related papers: Skyrme functional from a three-body pseudo-potenti…

200 papers

The three-body force is indispensable in nuclear energy density functionals which leads to a density dependent two-body term in the Hartree-Fock approach. Usually a single factional power of density dependency has been adopted. We consider…

Nuclear Theory · Physics 2016-02-17 Xueyu Xiong , Junchen Pei , Wenjun Chen

We perform a systematic study of the impact of the J^2 tensor term in the Skyrme energy functional on properties of spherical nuclei. In the Skyrme energy functional, the tensor terms originate both from zero-range central and tensor…

Nuclear Theory · Physics 2011-11-09 T. Lesinski , M. Bender , K. Bennaceur , T. Duguet , J. Meyer

We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasi-local nuclear Energy Density Functional…

Nuclear Theory · Physics 2011-06-06 F. Raimondi , B. G. Carlsson , J. Dobaczewski

A Skyrme-like effective interaction is built up from the equation of state of nuclear matter. The latter is calculated in the framework of the Brueckner-Hartree-Fock approximation with two and three body forces. A complete Skyrme…

Nuclear Theory · Physics 2009-11-11 L. G. Cao , U. Lombardo , C. W. Shen , Nguyen Van Giai

Background: [elided for arXiv character count] Purpose: With the advancement of computational power it is now possible to undertake TDHF calculations without any symmetry assumptions and incorporate the major strides made by the nuclear…

Nuclear Theory · Physics 2016-06-22 P. D. Stevenson , E. B. Suckling , S. Fracasso , M. C. Barton , A. S. Umar

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 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

Empirical energy density functionals (EDFs) are generally successful in describing nuclear properties across the table of nuclides. But their limitations motivate using the density-matrix expansion (DME) to embed long-range pion…

Nuclear Theory · Physics 2021-02-08 L. Zurek , E. A. Coello Pérez , S. K. Bogner , R. J. Furnstahl , A. Schwenk

In a recent series of papers, Gebremariam, Bogner, and Duguet derived a microscopically based nuclear energy density functional by applying the Density Matrix Expansion (DME) to the Hartree-Fock energy obtained from chiral effective field…

Nuclear Theory · Physics 2010-12-02 M. Stoitsov , M. Kortelainen , S. K. Bogner , T. Duguet , R. J. Furnstahl , B. Gebremariam , N. Schunck

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 propose a new scheme for constructing an effective-field-theory-based interaction to be used in the energy-density-functional (EDF) theory with specific assumptions for defining a power counting. This procedure is developed through the…

Nuclear Theory · Physics 2017-09-27 C. -J. Yang , M. Grasso , D. Lacroix

The phenomenological Skyrme energy density functional theory is one of the most popular theories for dealing with finite nuclei and infinite nuclear matter, including neutron star matter. However, the density dependence of the effective…

Nuclear Theory · Physics 2025-01-06 Mingya Duan , Michael Urban

The traditional approach to fixing the parameters of the Skyrme model requires the energy of a spinning Skyrmion to reproduce the nucleon and delta masses. The standard Skyrme parameters, which are used almost exclusively, fix the pion mass…

High Energy Physics - Theory · Physics 2009-11-11 Richard A. Battye , Steffen Krusch , Paul M. Sutcliffe

Due to the large value of the scattering length in nuclear systems, standard density--functional theories based on effective interactions usually fail to reproduce the nuclear Fermi liquid behavior both at very low densities and close to…

Nuclear Theory · Physics 2016-09-21 C. J. Yang , M. Grasso , D. Lacroix

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

Based on recent progress on fermionic exchange symmetry we propose a way to develop new functionals for reduced density matrix functional theory. For some settings with an odd number of electrons, by assuming saturation of the inequalities…

Strongly Correlated Electrons · Physics 2018-10-23 Carlos L. Benavides-Riveros , Miguel A. L. Marques

The problem of the determination of the nuclear surface and surface symmetry energy is addressed in the framework of the Extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density…

Nuclear Theory · Physics 2016-03-23 F. Aymard , F. Gulminelli , J. Margueron

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the…

Background: Extensions of single-reference (SR) energy-density-functionals (EDFs) to multi-reference (MR) applications involve using the generalized Wick theorem (GWT), which leads to singular energy kernels that cannot be properly…

Nuclear Theory · Physics 2014-12-09 Wojciech Satula , Jacek Dobaczewski

The development of a modern and more realistic nuclear energy density functional (EDF) for accurate predictions of properties of nuclei is the subject of enhanced activity, since it is very important for the study of properties of nuclear…

Nuclear Theory · Physics 2019-11-14 S. Shlomo , A. I. Sanzhur