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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

Within the Energy Density Functional (EDF) approach, the use of mean-field wave-functions deliberately breaking (some) symmetries of the underlying Hamiltonian is an efficient and largely utilized way to incorporate static correlations.…

Nuclear Theory · Physics 2024-04-23 A. Porro , G. Colò , T. Duguet , D. Gambacurta , V. Somà

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

The Statistical Multifragmentation Model is modified to incorporate the Helmholtz free energies calculated in the finite temperature Thomas-Fermi approximation using Skyrme effective interactions. In this formulation, the density of the…

Nuclear Theory · Physics 2009-12-31 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner , M. B. Tsang

A completely microscopic beyond mean-field approach has been elaborated to overcome some intrinsic limitations of self-consistent mean-field schemes applied to nuclear systems, such as the incapability to produce some properties of…

Nuclear Theory · Physics 2015-06-16 M. Brenna , G. Colò , X. Roca-Maza , P. F. Bortignon , K. Moghrabi , M. Grasso

Based on the standard Skyrme energy density functionals together with the extended Thomas-Fermi approach, the properties of symmetric and asymmetric nuclear matter represented in two macroscopic-microscopic mass formulas: Lublin-Strasbourg…

Nuclear Theory · Physics 2016-03-10 Ning Wang , Min Liu , Li Ou , Yingxun Zhang

We obtain the nuclear proximity potential by using semiclassical extended Thomas Fermi (ETF) approach in Skyrme energy density formalism (SEDF), and use it in the extended $\ell$-summed Wong formula under frozen density approximation. This…

Nuclear Theory · Physics 2011-09-30 Raj Kumar , Raj K. Gupta

The $\beta$-decay half-lives of nuclei are sensitive to the values of $Q_{\beta}$. For accurate theoretical predictions, it is essential to develop an effective interaction or an energy density functional (EDF) that can systematically…

Nuclear Theory · Physics 2025-05-16 Futoshi Minato , Yifei Niu , Kenichi Yoshida

We present BSkG3, the latest entry in the Brussels-Skyrme-on-a-grid series of large-scale models of nuclear structure based on an energy density functional. Compared to its predecessors, the new model offers a more realistic description of…

Nuclear Theory · Physics 2023-10-09 Guilherme Grams , Wouter Ryssens , Guillaume Scamps , Stephane Goriely , Nicolas Chamel

The neutron-proton Fermi-energy difference and the correlation to nucleon separation energies for some magic nuclei are investigated with the Skyrme energy density functionals and nuclear masses, with which the nuclear symmetry energy at…

Nuclear Theory · Physics 2013-03-28 Ning Wang , Li Ou , Min Liu

Deformed and spherical even-even nuclei are studied using a finite range simple effective interaction within the Hartree-Fock-Bogoliubov mean field approach. Different parameter sets of the interaction, corresponding to different…

Nuclear Theory · Physics 2017-04-13 B. Behera , X. Viñas , T. R. Routray , L. M. Robledo , M. Centelles , S. P. Pattnaik

I discuss the inadequacy of the "projected density" prescription to be used in density dependent forces/functionals when calculations beyond mean field are pursued. The case of calculations aimed at the symmetry restoration of mean fields…

Nuclear Theory · Physics 2015-05-18 L M Robledo

A study of parameter sensitivity of nuclear energy density functionals, initiated in the first part of this work \cite{NV.16}, is extended by the inclusion of data on ground-state properties of finite nuclei in the application of the…

Nuclear Theory · Physics 2017-05-24 Tamara Nikšić , Marko Imbrišak , Dario Vretenar

A new method for approximating Skyrme solutions is developed. It consists of cutting sections out of the Skyrme crystal and smoothly interpolating between the boundary and spatial infinity. Several field configurations are constructed, and…

Nuclear Theory · Physics 2009-10-28 W. K. Baskerville

We developed new parameterizations of local regularized finite-range pseudopotentials up to next-to-next-to-next-to-leading order (N3LO), used as generators of nuclear density functionals. When supplemented with zero-range spin-orbit and…

Nuclear Theory · Physics 2020-12-15 K. Bennaceur , J. Dobaczewski , T. Haverinen , M. Kortelainen

The saturation of symmetric nuclear matter -- reflected in the nearly constant interior density of heavy nuclei -- is a defining property of nuclear matter. Modern relativistic energy density functionals (EDFs) calibrated exclusively to the…

Nuclear Theory · Physics 2025-12-30 Md Jafrul Islam , Athul Kunjipurayil , J. Piekarewicz , A. Volya

We investigate the spin dependent part of the Skyrme energy-density functional, in particular its impact on the residual particle-hole interaction in self-consistent calculations of excitations. Test cases are the low-energy M1 excitations…

Nuclear Theory · Physics 2019-07-03 V. Tselyaev , N. Lyutorovich , J. Speth , P. -G. Reinhard , D. Smirnov

We describe a new implementation of the quasiparticle random phase approximation (QRPA) in axially-symmetric deformed nuclei with Skyrme and volume-pairing energy-density functionals. After using a variety of tests to demonstrate the…

Nuclear Theory · Physics 2014-11-21 J. Terasaki , J. Engel

Providing reliable data on the properties of atomic nuclei and infinite nuclear matter to astrophysical applications remains extremely challenging, especially when treating both properties coherently within the same framework. Methods based…

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
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