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The problem of the determination of the nuclear surface and surface symmetry energy is addressed in the framework of the Extended Thomas Fermi (ETF) approximation using Skyrme functionals. We propose an analytical model for the density…

Nuclear Theory · Physics 2016-03-23 F. Aymard , F. Gulminelli , J. Margueron

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…

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

We perform extended Thomas-Fermi calculations in the Wigner-Seitz cell below and above neutron drip with realistic functionals. The resulting energy density is decomposed as a sum of bulk terms and a surface term, and a compressible liquid…

Nuclear Theory · Physics 2020-10-06 Ubiratãn José Furtado , Francesca Gulminelli

We try to improve the Thomas-Fermi model for the total energy and electron density of atoms and molecules by directly modifying the Euler equation for the electron density, which we argue is less affected by nonlocal corrections. Here we…

Statistical Mechanics · Physics 2007-05-23 Jeng-Da Chai , John D. Weeks

We present simulations of neutron-rich matter at subnuclear densities, like supernova matter, with the time-dependent Hartree-Fock approximation at temperatures of several MeV. The initial state consists of $\alpha$ particles randomly…

The saturation of symmetric nuclear matter -- reflected in the nearly constant interior density of heavy nuclei -- is a defining property of nuclear matter. Modern relativistic energy density functionals (EDFs) calibrated exclusively to the…

Nuclear Theory · Physics 2025-12-30 Md Jafrul Islam , Athul Kunjipurayil , J. Piekarewicz , A. Volya

The deviation of the electron density around the nuclei from spherical symmetry determines the electric field gradient (EFG), which can be measured by various types of spectroscopy. Nuclear Quadrupole Resonance (NQR) is particularly…

Materials Science · Physics 2020-10-27 Kamal Choudhary , Jaafar N. Ansari , Igor I. Mazin , Karen L. Sauer

We previously studied the inner crust and the pasta mantle of a neutron star within the 4th-order extended Thomas-Fermi (ETF) approach with consistent proton shell corrections added perturbatively via the Strutinsky integral (SI) theorem…

High Energy Astrophysical Phenomena · Physics 2024-05-07 N. N. Shchechilin , N. Chamel , J. M. Pearson , A. I. Chugunov , A. Y. Potekhin

The equations of state for symmetric nuclear matter and pure neutron matter are investigated with the tensor-optimized Fermi Sphere method (TOFS) up to the density $\rho=0.5$~fm$^{-3}$. This method is based on a linked-cluster expansion…

Nuclear Theory · Physics 2024-03-19 Taiichi Yamada

We present a detailed analysis of three models predicting the properties of non-uniform matter in the crust of neutron stars: the compressible liquid-drop model, the fourth order Extended Thomas Fermi (ETF) method, and ETF plus Strutinsky…

The back-shifted Fermi gas model is widely employed for calculating nuclear level density (NLD) as it can effectively reproduce experimental data by adjusting parameters. However, selecting parameters for nuclei lacking experimental data…

Nuclear Theory · Physics 2024-07-01 Peng-Xiang Du , Tian-Shuai Shang , Kun-Peng Geng , Jian Li , Dong-Liang Fang

New energy-density functionals (EDFs) inspired by effective-field theories (EFTs) have been recently proposed. The present work focuses on three of such functionals which were developed to produce satisfactory equations of state for nuclear…

Nuclear Theory · Physics 2018-09-26 Jérémy Bonnard , Marcella Grasso , Denis Lacroix

We obtained a density-dependent analytical expression of binding energy per nucleon for different neutron-proton asymmetry of the nuclear matter (NM) with a polynomial fitting, which manifests the results of effective field theory motivated…

Nuclear Theory · Physics 2021-02-03 Ankit Kumar , H. C. Das , Manpreet Kaur , M. Bhuyan , S. K. Patra

Considering the effects of charge screening, we propose a new numerical recipe within the framework of Thomas-Fermi approximation, where the properties of nuclear matter throughout a vast density range can be obtained self-consistently.…

Nuclear Theory · Physics 2022-04-19 Cheng-Jun Xia , Bao Yuan Sun , Toshiki Maruyama , Wen-Hui Long , Ang Li

Parametrized nucleon density distributions are widely employed for the calculation of the properties of atomic nuclei and dense inhomogeneous matter in compact stars within the Thomas-Fermi method and its extensions. We show that the use of…

Nuclear Theory · Physics 2024-11-19 A. Y. Potekhin , A. I. Chugunov , N. N. Shchechilin , N. Chamel

Constraining the nuclear matter equation of state (EOS) beyond saturation density is a central goal of nuclear physics and astrophysics. While the relativistic Brueckner-Hartree-Fock (RBHF) theory, an \textit{ab initio,} non-perturbative…

Nuclear Theory · Physics 2025-12-23 Kangmin Chen , Xiaoying Qu , Hui Tong , Sibo Wang , Yangyang Yu

We present a hybrid scheme based on classical density functional theory and machine learning for determining the equilibrium structure and thermodynamics of inhomogeneous fluids. The exact functional map from the density profile to the…

Soft Condensed Matter · Physics 2023-12-12 Florian Sammüller , Sophie Hermann , Daniel de las Heras , Matthias Schmidt

The equation of state (EOS) for neutron star (NS) crusts is studied in the Thomas-Fermi (TF) approximation using the EOS for uniform nuclear matter obtained by the variational method with the realistic nuclear Hamiltonian. The parameters…

Nuclear Theory · Physics 2010-01-07 H. Kanzawa , M. Takano , K. Oyamatsu , K. Sumiyoshi

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
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