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The interior of a neutron star is expected to exhibit different states of matter. In particular, complex non-spherical configurations known as `pasta' phases may exist at the highest densities in the inner crust, potentially having an…

Nuclear Theory · Physics 2021-10-28 H. Dinh Thi , T. Carreau , A. F. Fantina , F. Gulminelli

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

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…

Historically, a sequence of nuclear pasta shapes was predicted to appear in the deepest region of the inner crust of a neutron star within the compressible liquid-drop picture, when the filling fraction $u$ exceeds some threshold values.…

High Energy Astrophysical Phenomena · Physics 2025-05-27 Nikolai N. Shchechilin , Nicolas Chamel , Andrey I. Chugunov

With various sets of the parameters that characterize the equation of state (EOS) of nuclear matter, we systematically examine the thickness of a neutron star crust and of the pasta phases contained therein. Then, with respect to the…

High Energy Astrophysical Phenomena · Physics 2017-08-02 Hajime Sotani , Kei Iida , Kazuhiro Oyamatsu

The behavior and properties of neutrinos in non-uniform nuclear matter, surrounded by electrons and other neutrinos are studied. The nuclear matter itself is modeled by the non-linear Walecka model, where the so-called nuclear pasta phase…

Nuclear Theory · Physics 2016-10-12 U. J. Furtado , S. S. Avancini , J. R. Marinelli , W. Martarello , C. Providência

Based on the relativistic mean field (RMF) model with Thomas-Fermi approximation, we investigate the elastic properties of neutron star matter. The elastic constants are estimated by introducing deformations on the nuclear pasta structures…

We investigate nuclear pasta phases appearing in hot neutron-star matter based on the compressible liquid-drop model, where the matter consists of a dense liquid phase and a dilute gas phase separated by a sharp interface. The surface…

Nuclear Theory · Physics 2026-03-18 Jian Zhou , Junbo Pang , Hong Shen , Jinniu Hu

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

Properties of inhomogeneous nuclear matter are evaluated within a relativistic mean field approximation using density dependent coupling constants. A parameterization for these coupling constants is presented, which reproduces the…

Nuclear Theory · Physics 2008-11-26 P. Gögelein , E. N. E. van Dalen , C. Fuchs , H. Müther

The properties of warm symmetric and asymmetric nuclear matter are investigated in the frame of the Thomas-Fermi approximation using a recent modern parametrization of the effective nucleon-nucleon interaction of Myers and Swiatecki.…

Nuclear Theory · Physics 2015-06-26 Klaus Strobel , Fridolin Weber , Manfred K. Weigel

Nuclear pasta, that is an inhomogeneous distribution of nuclear matter characterised by non-spherical clustered structures, is expected to occur in a narrow spatial region at the bottom of the inner crust of neutron stars, but the width of…

High Energy Astrophysical Phenomena · Physics 2021-11-09 H. Dinh Thi , A. F. Fantina , F. Gulminelli

We perform a systematic comparison between the results obtained by solving fully self-consistently the Hartree-Fock-Bogoliubov equations, and those obtained using the semi-classical Extended Thomas-Fermi method, for various Wigner-Seitz…

Nuclear Theory · Physics 2020-12-09 Matthew Shelley , Alessandro Pastore

Pairing effects in non-uniform nuclear matter, surrounded by electrons, are studied in the protoneutron star early stage and in other conditions. The so-called nuclear pasta phases at subsaturation densities are solved in a Wigner-Seitz…

Nuclear Theory · Physics 2021-11-30 U. J. Furtado , S. S. Avancini , J. R. Marinelli

The Thomas-Fermi approximation is a powerful method that has been widely used to describe atomic structures, finite nuclei, and nonuniform matter in supernovae and neutron-star crusts. Nonuniform nuclear matter at subnuclear density is…

Nuclear Theory · Physics 2025-08-05 Shuying Li , Hong Shen , Jinniu Hu

We study the properties of pasta structures and their influence on the neutron star observables employing the effective relativistic mean-field (E-RMF) model. The compressible liquid drop model is used to incorporate the finite size…

Nuclear Theory · Physics 2022-08-01 Vishal Parmar , H. C. Das , Ankit Kumar , Ankit Kumar , M. K. Sharma , P. Arumugam , S. K. Patra

Exotic non-spherical configurations of nuclei, known as ``pasta" phases, are expected to be present at the bottom of the inner crust of a neutron star. We study the properties of these configurations in catalyzed neutron stars within a…

High Energy Astrophysical Phenomena · Physics 2022-06-17 H. Dinh Thi , A. F. Fantina , F. Gulminelli

Nuclear density functional theory (DFT) is the tool of choice in describing properties of complex nuclei and intricate phases of bulk nucleonic matter. It is a microscopic approach based on an energy density functional representing the…

Nuclear Theory · Physics 2016-11-30 Bastian Schuetrumpf , Chunli Zhang , Witold Nazarewicz

Static and dynamic properties of low density outer envelopes of neutron stars are calculated within the nonlinear magnetic Thomas-Fermi model, assuming degenerate electrons. A novel domain decomposition enables proper description of lattice…

Solar and Stellar Astrophysics · Physics 2015-02-25 Tyler A. Engstrom , Vincent H. Crespi , Benjamin J. Owen , James Brannick , Xiaozhe Hu

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
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