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The equation of state and composition of the inner crust of neutron stars at zero temperature are calculated, using the T = 0 version of the TETFSI (temperature-dependent extended Thomas-Fermi plus Strutinsky integral) method, for each of a…

Nuclear Theory · Physics 2012-12-05 J. M. Pearson , N. Chamel , S. Goriely , C. Ducoin

We perform a Bayesian analysis of the neutron star (NS) equation of state (EoS) based on a wide set of Skyrme functionals, derived from previous nuclear physics inferences. The novelty of this approach lies in starting from the full…

Nuclear Theory · Physics 2026-04-15 Pietro Klausner , Marco Antonelli , Francesca Gulminelli

Self-consistent mean-field methods with Skyrme-type effective interactions and semiclassical approximations, such as the Thomas-Fermi approach and its extensions are particularly well-suited for describing in a thermodynamically consistent…

Nuclear Theory · Physics 2026-05-21 Nicolas Chamel , Nikolai N. Shchechilin , Andrey I. Chugunov

Using the fourth-order extended Thomas-Fermi method with Strutinsky-integral shell and pairing corrections, we calculate the inner crust of neutron stars with the BSk31 functional, whose pairing has two terms: i) a term that is fitted to…

Nuclear Theory · Physics 2026-05-21 Nicolas Chamel , John-Michael Pearson , Nikolay N. Shchechilin

The composition of the inner crust of neutron stars is usually studied using phenomenological interactions such as Skyrme energy-density functionals. But most of these functionals do not agree well with ab-initio calculations of very dilute…

Nuclear Theory · Physics 2024-04-10 Sunny Kumar Gupta , Michael Urban

We investigated the role of a pairing correlation in the chemical composition of the inner crust of a neutron star with the extended Thomas-Fermi method, using the Strutinsky integral correction. We compare our results with the fully…

Nuclear Theory · Physics 2020-11-23 Matthew Shelley , Alessandro Pastore

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…

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

We present a systematic survey the range of predictions of the neutron star inner crust composition, crust-core transition densities and pressures, and density range of the nuclear `pasta' phases at the bottom of the crust provided by the…

Solar and Stellar Astrophysics · Physics 2015-05-30 W. G. Newton , M. Gearheart , Bao-An Li

In the framework of Thomas-Fermi approximation, we study systematically the EOSs and microscopic structures of neutron star matter in a vast density range with $n_\mathrm{b}\approx 10^{-10}$-2 $\mathrm{fm}^{-3}$, where various covariant…

Nuclear Theory · Physics 2022-08-30 Cheng-Jun Xia , Toshiki Maruyama , Ang Li , Bao Yuan Sun , Wen-Hui Long , Ying-Xun Zhang

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

The detailed knowledge of the inner crust properties of neutron stars might be important to explain different phenomena such as pulsar glitches or the possibility of an {\it r-process} site in neutron star mergers. It has been shown in the…

Nuclear Theory · Physics 2020-09-21 C. Mondal , X. Viñas , M. Centelles , J. N. De

An approach to the equation of state for the inner crust of neutron stars based on Skyrme-type forces is presented. Working within the Wigner-Seitz picture, the energy is calculated by the TETF (temperature-dependent extended Thomas-Fermi)…

Nuclear Theory · Physics 2008-11-26 M. Onsi , A. K. Dutta , H. Chatri , S. Goriely , N. Chamel , J. M. Pearson

Properties of the matter in the inner crust of a neutron star are investigated in a Hartree-Fock plus BCS approximation employing schematic effective forces of the type of the Skyrme forces. Special attention is paid to differences between…

Nuclear Theory · Physics 2009-11-10 F. Montani , C. May , H. Müther

In numerical simulations of core-collapse supernova and binary neutron stars mergers, information about the energetics and composition of matter is implemented via external tables covering the huge ranges of thermodynamic conditions…

Nuclear Theory · Physics 2025-09-11 Adriana R. Raduta , Mikhail V. Beznogov

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

We derive a new equation of state (EoS) for neutron stars (NS) from the outer crust to the core based on modern microscopic Brueckner-Hartree-Fock (BHF) calculations using the Argonne $v_{18}$ potential plus three-body forces computed with…

Nuclear Theory · Physics 2015-12-02 B. K. Sharma , M. Centelles , X. Vinas , M. Baldo , G. F. Burgio

We investigate the effects of temperature on the properties of the inner crust of a non-accreting neutron star. To this aim, we employ two different treatments: the compressible liquid drop model (CLDM) and the temperature-dependent…

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

An equation of state (EOS) of neutron star matter, describing both the neutron star crust and the liquid core, is calculated. It is based on the effective nuclear interaction SLy of the Skyrme type, which is particularly suitable for the…

Astrophysics · Physics 2009-11-07 F. Douchin , P. Haensel
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