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Density functional theory is a preferred microscopic method for calculation of nuclear properties over the whole nuclear chart. Besides ground-state properties, which are calculated by Hartree-Fock theory, nuclear excitations can be…

Nuclear Theory · Physics 2020-06-02 Anton Repko

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

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function- and energy-functional-based methods. In particular, we point to…

Nuclear Theory · Physics 2011-08-17 T. Duguet , J. Sadoudi

Nuclear effective interactions are often modelled by simple analytical expressions such as the Skyrme zero-range force. This effective interaction depends on a limited number of parameters that are usually fitted using experimental data…

Nuclear Theory · Physics 2015-06-03 A. Pastore , K. Bennaceur , D. Davesne , J. Meyer

The purpose of this study is threefold: first, to identify a scheme for the determination of the surface energy coefficient a_surf that offers the best compromise between robustness, precision, and numerical efficiency; second, to analyze…

Nuclear Theory · Physics 2018-03-06 R. Jodon , M. Bender , K. Bennaceur , J. Meyer

It has been recently shown, that some Skyrme functionals can lead to non-converging results in the calculation of some properties of atomic nuclei. A previous study has pointed out a possible link between these convergence problems and the…

Nuclear Theory · Physics 2015-05-20 A. Pastore , D. Tarpanov , D. Davesne , J. Navarro

The spin-flip M1 giant resonance is explored in the framework of Random Phase Approximation on the basis of the Skyrme energy functional. A representative set of eight Skyrme parameterizations (SkT6, SkM*, SLy6, SG2, SkO, SkO', SkI4, and…

Nuclear Theory · Physics 2009-11-06 P. Vesely , J. Kvasil , V. O. Nesterenko , W. Kleinig , P. -G. Reinhard , V. Yu. Ponomarev

We further progress along the line of Ref. [Phys. Rev. {\bf A 94}, 043614 (2016)] where a functional for Fermi systems with anomalously large $s$-wave scattering length $a_s$ was proposed that has no free parameters. The functional is…

Nuclear Theory · Physics 2017-05-24 Denis Lacroix , Antoine Boulet , Marcella Grasso , C. -J. Yang

The canonical quantization method for collective coordinates in crystalline configurations of the generalized Skyrme model is applied in order to find the quantum ground state of Skyrmion crystals and study the quantum corrections to the…

We implement for the first time the simulated annealing method (SAM) to the problem of searching for the global minimum in the hyper-surface of the chi-square function which depends on the values of the parameters of a Skyrme type effective…

Nuclear Theory · Physics 2008-11-26 B. K. Agrawal , S. Shlomo , V. Kim Au

Although nuclear energy density functionals are determined primarily by fitting to ground state properties, they are often applied in nuclear astrophysics to excited states, usually through the quasiparticle random phase approximation…

Nuclear Theory · Physics 2011-08-22 J. Terasaki , J. Engel

In one way or the other, all modern parametrizations of the nuclear energy density functional (EDF) do not respect the exchange symmetry associated with Pauli's principle. It has been recently shown that this practice jeopardizes…

Nuclear Theory · Physics 2014-06-25 J. Sadoudi , T. Duguet , J. Meyer , M. Bender

Random Phase Approximation (RPA) is the basic method for calculation of excited states of nuclei over the Hartree-Fock ground state, suitable also for energy density functionals (EDF or DFT). We developed a convenient formalism for…

Nuclear Theory · Physics 2025-06-19 Anton Repko , Jan Kvasil , V. O. Nesterenko , P. -G. Reinhard

The density dependence of the nuclear symmetry energy is inspected using the Statistical Multifragmentation Model with Skyrme effective interactions. The model consistently considers the expansion of the fragments' volumes at finite…

Nuclear Theory · Physics 2009-10-29 S. R. Souza , M. B. Tsang , B. V. Carlson , R. Donangelo , W. G. Lynch , A. W. Steiner

We generate three families of extended covariant density functionals of nuclear matter that have varying slope of symmetry energy and skewness at nuclear saturation density, but otherwise share the same basic parameters (symmetry energy,…

Nuclear Theory · Physics 2024-01-09 Jia Jie Li , Armen Sedrakian

Using a density functional approach based on a Skyrme interaction, thermodynamic properties of finite nuclei are investigated at non-zero temperture. The role of a momentum dependent isovector term is now studied besides volume, symmetry,…

Nuclear Theory · Physics 2009-12-31 S. J. Lee , A. Z. Mekjian

We review the notion of symmetry breaking and restoration within the frame of nuclear energy density functional methods. We focus on key differences between wave-function- and energy-functional-based methods. In particular, we point to…

Nuclear Theory · Physics 2011-04-05 T. Duguet , J. Sadoudi

Large-scale calculation based on the multi-configuration Skyrme density functional theory is performed for the light N=Z even-even nucleus, 12C. Stochastic procedures and the imaginary-time evolution are utilized to prepare many Slater…

Nuclear Theory · Physics 2012-12-04 Y. Fukuoka , T. Nakatsukasa , Y. Funaki , K. Yabana

Models with interacting dark energy can alleviate the cosmic coincidence problem by allowing dark matter and dark energy to evolve in a similar fashion. At a fundamental level, these models are specified by choosing a functional form for…

Astrophysics · Physics 2008-11-26 Rogerio Rosenfeld

Fusion barriers are determined in the framework of the Skyrme energy-density functional together with the semi-classical approach known as the Extended Thomas-Fermi method. The barriers obtained in this way with the Skyrme interaction SkM*…

Nuclear Theory · Physics 2015-06-26 A. Dobrowolski , K. Pomorski , J. Bartel