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Nuclear density functional theory provides a unified description of finite nuclei and bulk nuclear matter, and is widely used to model the neutron star equation of state. However, extrapolations to supra-saturation densities require a…

We propose a neural-network-based variational framework for nuclear Density Functional Theory based on the extended Thomas--Fermi (ETF) model, in which proton and neutron number densities are represented by multilayer perceptrons and…

Nuclear Theory · Physics 2026-05-12 Kenta Yoshimura

Comparing with a wide range of covariant energy density functional models based on the finite-range meson-exchange representation, the relativistic mean-field models with the zero-range contact interaction, namely the relativistic…

Nuclear Theory · Physics 2019-09-04 Bao Yuan Sun , Zhi Wei Liu , Ruo Yu Xing

We present the basic concepts and recent developments in the time-dependent density functional theory (TDDFT) for describing nuclear dynamics at low energy. The symmetry breaking is inherent in nuclear energy density functionals (EDFs),…

Nuclear Theory · Physics 2016-12-21 Takashi Nakatsukasa , Kenichi Matsuyanagi , Masayuki Matsuo , Kazuhiro Yabana

We construct nuclear energy density functionals in terms of derivatives of densities up to sixth, next-to-next-to-next-to-leading order (N3LO). A phenomenological functional built in this way conforms to the ideas of the density matrix…

Nuclear Theory · Physics 2014-11-18 B. G. Carlsson , J. Dobaczewski , M. Kortelainen

The Lagrangian density of standard relativistic mean-field (RMF) models with density-dependent meson-nucleon coupling vertices is modified by introducing couplings of the meson fields to derivative nucleon densities. As a consequence, the…

Nuclear Theory · Physics 2007-05-23 S. Typel

The density dependence of the symmetry energy in the equation of state of isospin asymmetric nuclear matter is of significant importance for studying the structure of systems as diverse as the neutron-rich nuclei and the neutron stars. A…

Nuclear Experiment · Physics 2014-11-18 D. V. Shetty , S. J. Yennello , G. A. Souliotis

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

Covariant density functionals have been successfully applied to the description of finite nuclei and dense nuclear matter. These functionals are often constructed by introducing density dependence into the nucleon-meson couplings, typically…

High Energy Astrophysical Phenomena · Physics 2026-05-14 Guo-Jun Wei , Jia-Jie Li , Armen Sedrakian , Yong-Jia Wang , Qing-Feng Li , Fu-Hu Liu

Ab initio methods using weakly interacting nucleons give a good description of condensed nuclear matter up to densities comparable to the nuclear saturation density. At higher densities palpable strong interactions between overlapping…

High Energy Physics - Phenomenology · Physics 2021-04-14 Niko Jokela , Matti Jarvinen , Govert Nijs , Jere Remes

The effect of temperature and density dependence of the asymmetric nuclear matter properties is studied within the extended relativistic mean field (ERMF) model, which includes the contribution from the self and mixed interaction terms by…

Nuclear Theory · Physics 2011-10-14 Mahajan Gulshan , Shashi K. Dhiman

The density dependence of the symmetry energy in the equation of state of isospin asymmetric nuclear matter is studied using the isoscaling of the fragment yields and the antisymmetrized molecular dynamic calculation. It is observed that…

Nuclear Experiment · Physics 2008-11-26 D. V. Shetty , S. J. Yennello , G. A. Souliotis

It is shown how the Equation of State (EoS) depends on nucleon properties inside Nuclear Matter (NM). We propose to benefit from the concept of enthalpy in order to include volume corrections to the nucleon rest energy, which are…

Nuclear Theory · Physics 2017-02-28 Jacek Rożynek

We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasi-local nuclear Energy Density Functional…

Nuclear Theory · Physics 2011-06-06 F. Raimondi , B. G. Carlsson , J. Dobaczewski

Empirically determined values of the nuclear volume and surface symmetry energy coefficients from nuclear masses are expressed in terms of density distributions of nucleons in heavy nuclei in the local density approximation. This is then…

Nuclear Theory · Physics 2015-06-16 B. K. Agrawal , J. N. De , S. K. Samaddar , G. Colo , A. Sulaksono

The low density nuclear matter equation of state is strongly constrained by nuclear properties, however, for constraining the high density equation of state it is necessary to resort to indirect information obtained from the observation of…

Nuclear Theory · Physics 2021-10-04 Márcio Ferreira , Constança Providência

We use a finite range simple effective interaction to construct nuclear equations of state for the study of the density dependence of the nuclear symmetry energy. The EoSs provide good descriptions of the nuclear symmetry energy at a…

Nuclear Theory · Physics 2020-12-01 D. Behera , S. K. Tripathy , T. R. Routray , B. Behera

Radii of charge and neutron distributions are fundamental nuclear properties. They depend on both nuclear interaction parameters related to the equation of state of infinite nuclear matter and on quantal shell effects, which are strongly…

Nuclear Theory · Physics 2016-08-17 P. -G. Reinhard , W. Nazarewicz

In this contribution, we review the most important physics presented originally in our recent publications. Some new analyses, insights and perspectives are also provided. We showed recently that the symmetry energy $E_{sym}(\rho)$ and its…

Nuclear Theory · Physics 2015-06-16 Chang Xu , Bao-An Li , Lie-Wen Chen

New superheavy nuclei are often identified through their characteristic $\alpha$-decay energies, which requires accurate calculations of $Q_{\alpha}$ values. While many $Q_{\alpha}$ predictions are available, little is known about their…

Nuclear Theory · Physics 2019-01-30 Erik Olsen , Witold Nazarewicz