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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

The self-consistent mean-field (SCMF) theory describes many properties of the ground state and excited states of the atomic nucleus, such as masses, radii, deformations and giant resonance energies. SCMF models are based on the independent…

Nuclear Theory · Physics 2014-08-05 Marco Brenna

We propose a novel idea to construct an effective interaction under energy-density-functional (EDF) theories which is adaptive to the enlargement of the model space. Guided by effective field theory principles, iterations of interactions as…

Nuclear Theory · Physics 2022-07-22 C. J. Yang , W. G. Jiang , S. Burrello , M. Grasso

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

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

Effective field theory (EFT) methods are applied to density functional theory (DFT) as part of a program to systematically go beyond mean-field approaches to medium and heavy nuclei. A system of fermions with short-range, natural…

Nuclear Theory · Physics 2007-05-23 S. J. Puglia , A. Bhattacharyya , R. J. Furnstahl

The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective…

Nuclear Theory · Physics 2008-11-26 U. van Kolck

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

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

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

Effective field theory (EFT) methods for a uniform system of fermions with short-range, natural interactions are extended to include pairing correlations, as part of a program to develop a systematic Kohn-Sham density functional theory…

Nuclear Theory · Physics 2008-11-26 R. J. Furnstahl , H. -W. Hammer , S. J. Puglia

We report the first use of the effective QMC energy density functional (EDF), derived from a quark model of hadron structure, to study a broad range of ground state properties of even-even nuclei across the periodic table in the…

Nuclear Theory · Physics 2016-03-23 J. R. Stone , P. A. M. Guichon , P. G. Reinhard , A. W. Thomas

We study the extended Thomas-Fermi (ETF) density functional of the superfluid unitary Fermi gas. This functional includes a gradient term which is essential to describe accurately the surface effects of the system, in particular with a…

Quantum Gases · Physics 2015-05-14 L. Salasnich , F. Ancilotto , F. Toigo

The self-consistent Theory of Finite Fermi Systems (TFFS) is consistently generalized for the case of accounting for phonon coupling (PC) effects in the energy region of pygmy- and giant multipole resonances (PDR and GMR) in magic nuclei…

Nuclear Theory · Physics 2021-03-04 Sergei Kamerdzhiev , Michael Shitov , Dimitri Voitenkov

Over the past decade, machine learning has been successfully applied in various fields of science. In this study, we employ a deep learning method to analyze a Skyrme energy density functional (Skyrme-EDF), that is a Kohn-Sham type…

Nuclear Theory · Physics 2023-06-28 N. Hizawa , K. Hagino , K. Yoshida

Relativistic energy density functionals (EDF) have become a standard tool for nuclear structure calculations, providing a complete and accurate, global description of nuclear ground states and collective excitations. Guided by the medium…

Nuclear Theory · Physics 2015-05-27 Tamara Niksic , Dario Vretenar , Peter Ring

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

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

The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

Energy Density Functionals are of major interest for the study of the atomic nucleus as, coupled with mean-field and beyond N-body approaches, they are applicable to the whole nuclear chart, including superheavy elements. On the one hand,…

Nuclear Theory · Physics 2026-01-01 G. Zietek , N. Pillet , M. Anguiano , P. Carpentier , N. Dubray , R. N. Bernard , G. Blanchon , D. Regnier