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Using different Skyrme interactions, we have carried out a comparative analysis of fusion barriers for a wide range of interacting nuclei in the framework of semiclassical Skyrme energy density formalism. The results of our calculations…

Nuclear Theory · Physics 2016-01-20 O. N. Ghodsi , F. Torabi

Many common Skyrme functionals present ferromagnetic instabilities or unrealistic density dependence of the spin-dependent Landau parameters. To solve these problems, we consider the Skyrme interaction as a density-functional rather than a…

Nuclear Theory · Physics 2025-11-04 Mingya Duan , Michael Urban

Self-consistent mean field methods based on phenomenological Skyrme effective interactions are known to exhibit spurious spin and spin-isospin instabilities both at zero and finite temperatures when applied to homogeneous nuclear matter at…

Nuclear Theory · Physics 2010-11-03 N. Chamel , S. Goriely

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 conventional Skyrme interaction is generalized by adding zero-range charge-symmetry-breaking and charge-independence-breaking terms, and the corresponding energy density functional is derived. It is shown that the extended model…

Nuclear Theory · Physics 2016-01-18 Pawel Baczyk , Jacek Dobaczewski , Maciej Konieczka , Wojciech Satula

It is important to develop a unified theoretical framework to describe the nuclear experiments and astrophysical observations based on the same effective nuclear interactions. Based on the so-called Skyrme pseudopotential up to…

Nuclear Theory · Physics 2024-04-23 Si-Pei Wang , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

We present a new method to solve the nuclear density functional theory (DFT) equations using a two-center harmonic oscillator for Skyrme-like functionals, incorporating pairing and Coulomb interactions. The goal is to efficiently determine…

Nuclear Theory · Physics 2025-07-08 Adrián Sánchez-Fernández , Jacek Dobaczewski , Xuwei Sun , Herlik Wibowo

Generalized density dependence in Skyrme effective interactions is investigated to get forces valid beyond the mean field approximation. Preliminary results are presented for infinite symmetric and asymmetric nuclear matter up to pure…

Nuclear Theory · Physics 2015-06-26 B. Cochet , K. Bennaceur , P. Bonche , T. Duguet , J. Meyer

A state-of-the-art approach for calculating the finite nuclear size correction to atomic energy levels and the bound-electron $g$ factor is introduced and demonstrated for a series of highly charged hydrogen-like ions. Firstly,…

Atomic Physics · Physics 2020-07-01 Igor A. Valuev , Zoltán Harman , Christoph H. Keitel , Natalia S. Oreshkina

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

We evaluate the second--order (beyond--mean--field) contribution to the equation of state of nuclear matter with the effective Skyrme force and use cutoff and dimensional regularizations to treat the ultraviolet divergence produced by the…

Nuclear Theory · Physics 2016-09-21 C. J. Yang , M. Grasso , X. Roca-Maza , G. Colò , K. Moghrabi

The nuclear mean-field model based on Skyrme forces or related density functionals has found wide-spread application to the description of nuclear ground states, collective vibrational excitations, and heavy-ion collisions. The code Sky3D…

Nuclear Theory · Physics 2015-06-17 J. A. Maruhn , P. -G. Reinhard , P. D. Stevenson , A. S. Umar

A new Skyrme functional including tensor terms is presented. The tensor terms have been determined by fitting the results of relativistic Brueckner-Hartree-Fock (RBHF) studies on neutron-proton drops. Unlike all previous studies, where the…

Nuclear Theory · Physics 2019-08-23 Shihang Shen , Gianluca Colò , Xavier Roca-Maza

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

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

A variant of the basic Skyrme-Hartree-Fock (SHF) functional is considered dealing with a new form of density dependence. It employs only integer powers and thus will allow a more sound basis for projection schemes (particle number, angular…

Nuclear Theory · Physics 2010-10-27 J. Erler , P. Klüpfel , P. -G. Reinhard

Using a hydrogen molecule as a test system we demonstrate how to compute the effective potential according to the formalism of the new density functional theory (DFT), in which the basic variable is the set of spherically averaged densities…

Chemical Physics · Physics 2020-09-22 K. Kokko , Á. Nagy , J. Huhtala , T. Björkman , L. Vitos

Inspired by the low--density Lee-Yang expansion for the energy of a dilute Fermi gas of density $\rho$ and momentum $k_F$, we introduce here a Skyrme--type functional that contains only $s$-wave terms and provides, at the mean--field level,…

Nuclear Theory · Physics 2017-06-07 M. Grasso , D. Lacroix , C. J. Yang

There is an ongoing quest to improve on the spectroscopic quality of nuclear energy density functionals (EDFs) of the Skyrme type through extensions of its traditional form. One direction for such activities is the inclusion of terms of…

Nuclear Theory · Physics 2021-10-12 Wouter Ryssens , Michael Bender

The problem of the divergences which arise in beyond mean-field calculations, when a zero-range effective interaction is employed, has not been much considered so far. Some of us have proposed, quite recently, a scheme to regularize a…

Nuclear Theory · Physics 2014-10-22 Marco Brenna , Gianluca Colò , Xavier Roca-Maza