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We present background concepts of the nuclear density functional theory (DFT) and applications of the time-dependent DFT with the Skyrme energy functional for nuclear response functions. Practical methods for numerical applications of the…

Nuclear Theory · Physics 2013-10-16 T. Nakatsukasa , S. Ebata , P. Avogadro , L. Guo , T. Inakura , K. Yoshida

In recent years impressive progress has been made in the development of highly accurate energy density functionals, which allow to treat medium-heavy nuclei. In this approach one tries to describe not only the ground state but also the…

Nuclear Theory · Physics 2014-11-21 M Baldo , LM Robledo , P. Schuck , X. Viñas

The kinetic theory of the Fermi liquid is applied to finite nuclei. The nuclear collective motion is treated in terms of the observable variables: particle density, current density, pressure etc. The nuclear dynamics is influenced strongly…

Nuclear Theory · Physics 2007-05-23 V. M. Kolomietz

Quantum corrections to Thomas-Fermi (TF) theory are investigated for noninteracting one-dimensional fermions with known uniform semiclassical approximations to the density and kinetic energy. Their structure is analyzed, and contributions…

Quantum Gases · Physics 2017-03-15 Raphael F. Ribeiro , Kieron Burke

The {\ell}-summed Wong expression is applied in the semiclassical extended Thomas Fermi (ETF) method of Skyrme energy density formalism (SEDF), using both the sudden and frozen-density approximations, to the case of 64Ni+64Ni reaction data.…

Nuclear Theory · Physics 2010-10-19 Raj Kumar , Raj K. Gupta

The temperature dependence of the volume and surface components of the nuclear symmetry energy (NSE) and their ratio is investigated in the framework of the local density approximation (LDA). The results of these quantities for finite…

Nuclear Theory · Physics 2018-12-05 A. N. Antonov , D. N. Kadrev , M. K. Gaidarov , P. Sarriguren , E. Moya de Guerra

It is the aim of this paper to discuss the impact of nuclear fusion on the EOS. This is a timely subject given the expected availability of increasingly exotic beams at rare isotope facilities\,\cite{balantekin2014}. In practice, we focus…

Nuclear Theory · Physics 2016-05-03 P. -G. Reinhard , A. S. Umar , P. D. Stevenson , J. Piekarewicz , V. E. Oberacker , J. A. Maruhn

The non-relativistic model of nuclear matter with Brussels extended Skyrme interactions is employed in order to build, within a Bayesian approach, models for the dense matter equation of state (EOS). In addition to a minimal set of…

Nuclear Theory · Physics 2024-09-12 Mikhail V. Beznogov , Adriana R. Raduta

In this review, we will discuss the results of our recent work to study the general optimization of the pure isovector parameters of the popular relativistic mean-field (RMF) and Skyrme-Hartree-Fock (SHF) nuclear energy-density functionals…

Nuclear Theory · Physics 2013-03-27 F. J. Fattoyev , W. G. Newton , Jun Xu , Bao-An Li

We have obtained the constraints on the density dependence of the symmetry energy from neutron-skin thickness data by parity-violating electron scatterings and neutron-star observables using a Bayesian approach, based on the standard…

Nuclear Theory · Physics 2024-07-23 Jia Zhou , Jun Xu

The volume and surface symmetry parts of the nuclear symmetry energy and other coefficients of the liquid droplet model are determined from the measured atomic masses by the maximum likelihood estimator. The volume symmetry energy…

Nuclear Theory · Physics 2008-11-26 Tapan Mukhopadhyay , D. N. Basu

The CREX and PREX-II measurements of the neutron-skin thickness of 48Ca and 208Pb challenge standard nuclear energy-density functional (EDF) descriptions of nuclei and nuclear matter. We show that the apparent tension arises from an…

Nuclear Theory · Physics 2026-02-27 P. Papakonstantinou

Energy density functionals (EDFs) have been used extensively with great success to calculate properties of nuclei and to predict the equation of state (EOS) of dense nuclear matter. Besides non-relativistic EDFs, mostly of the Skyrme or…

Nuclear Theory · Physics 2024-10-29 Stefan Typel , Shalom Shlomo

The temperature dependence of the symmetry energy and symmetry free energy coefficients of infinite nuclear matter and of finite nuclei is investigated. For infinite matter, both these coefficients are found to have a weaker dependence on…

Nuclear Theory · Physics 2015-06-17 B. K. Agrawal , J. N. De , S. K. Samaddar , M. Centelles , X. Viñas

The curvature correction term to the surface tension is used as a criterion for the efficiency of the Skyrme interaction in describing surface properties. Based on the nuclear equation of state, the curvature correction term to the surface…

Nuclear Theory · Physics 2015-08-04 K. V. Cherevko , L. A. Bulavin , L. L. Jenkovszky , V. M. Sysoev , Feng-Shou Zhang

A microscopic description of nuclear fission represents one of the most challenging problems in nuclear theory. While phenomenological coordinates, such as multipole moments, have often been employed to describe fission, it is not obvious…

Nuclear Theory · Physics 2023-10-19 N. Hizawa , K. Hagino

I describe the foundation of a Density Functional Theory approach to include pairing correlations, which was applied to a variety of systems ranging from dilute fermions, to neutron stars and finite nuclei. Ground state properties as well…

Nuclear Theory · Physics 2017-08-23 Aurel Bulgac

In this work, the particle number projection at finite temperature is incorporated into self-consistent Skyrme density functional calculations. In particular, the energies of compound nuclei as a function of deformations are calculated…

Nuclear Theory · Physics 2026-03-02 Jiawei Chen , Yu Qiang , Junchen Pei

Nuclear density functional theory is the prevalent theoretical framework for accurately describing nuclear properties at the scale of the entire chart of nuclides. Given an energy functional and a many-body scheme (e.g., single- or…

Nuclear Theory · Physics 2020-06-19 N. Schunck , J. O'Neal , M. Grosskopf , E. Lawrence , S. M. Wild

The full relaxed-density potential between spherical nuclei is considered as a sum of the macroscopic and shell-correction contributions. The macroscopic part of the potential is related to a nucleus-nucleus potential obtained in the…

Nuclear Theory · Physics 2015-06-23 V. Yu. Denisov