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The inner crust of neutron stars formed of nuclear clusters immersed in a neutron sea has been widely studied in the framework of the Wigner-Seitz approximation since the seminal work of Negele and Vautherin. In this article, the validity…

Astrophysics · Physics 2008-11-26 N. Chamel , S. Naimi , E. Khan , J. Margueron

Using the relativistic mean-field theory, we adopt two different methods, namely, the coexisting phase method and the self-consistent Thomas-Fermi approximation, to study the impacts of the nuclear symmetry energy on properties of neutron…

Nuclear Theory · Physics 2015-12-15 Shishao Bao , Hong Shen

We discuss the ground state properties of matter in outer and inner crusts of neutron stars under the influence of strong magnetic fields. In particular, we demonstrate the effects of Landau quantization of electrons on compositions of…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Rana Nandi , Debades Bandyopadhyay

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

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

Based on the formalism by Kaminker et al. (Astron. Astrophys. 343 (1999) 1009) we derive an analytic approximation for neutrino-pair bremsstrahlung emissivity due to scattering of electrons by atomic nuclei in the neutron star crust of any…

Solar and Stellar Astrophysics · Physics 2015-06-23 D. D. Ofengeim , A. D. Kaminker , D. G. Yakovlev

The properties of neutron stars are investigated within the relativistic central variational method by using a realistic nucleon-nucleon ($NN$) interaction. The strong repulsion of realistic $NN$ interactions at short distances is treated…

Nuclear Theory · Physics 2017-03-08 Jinniu Hu , Hong Shen , Hiroshi Toki

We study the linear response of the inner crust of neutron stars within the Random Phase Approximation, employing a Skyrme-type interaction as effective interaction. We adopt the Wigner-Seitz approximation, and consider a single unit cell…

Nuclear Theory · Physics 2015-03-13 S. Baroni , A. Pastore , F. Raimondi , F. Barranco , R. A. Broglia , E. Vigezzi

We present a new numerical tool designed to probe the dense layers of neutron star crusts. It is based on the time-dependent Hartree-Fock-Bogoliubov theory with generalized Skyrme nuclear energy-density functionals of the Brussels-Montreal…

Nuclear Theory · Physics 2024-12-05 Daniel Pȩcak , Agata Zdanowicz , Nicolas Chamel , Piotr Magierski , Gabriel Wlazłowski

We study the non-uniform nuclear matter using the self-consistent Thomas--Fermi approximation with a relativistic mean-field model. The non-uniform matter is assumed to be composed of a lattice of heavy nuclei surrounded by dripped…

Nuclear Theory · Physics 2014-06-11 Z. W. Zhang , H. Shen

In the present work we study the effects of strongly quantizing magnetic fields and finite temperature on the properties of inner crusts of hot neutron stars. The inner crust of a neutron star contains neutron-rich nuclei arranged in a…

Nuclear Theory · Physics 2021-08-18 Rana Nandi , Somnath Mukhopadhyay , Sarmistha Banik

Few unified equations of state for neutron star matter where core and crust are described using the same nuclear model are available. However the use of non-unified equations of state with a simplified matching between the crust and the…

High Energy Astrophysical Phenomena · Physics 2016-11-07 J. L. Zdunik , M. Fortin , P. Haensel

A very fast iterative method is presented to calculate the internal constitution of the outer crust of a cold nonaccreted neutron star, making use of very accurate analytical formulas for the transition pressures between adjacent crustal…

High Energy Astrophysical Phenomena · Physics 2020-05-25 Nicolas Chamel

Within a microscopic approach the structure of Neutron Stars is usually studied by modelling the homogeneous nuclear matter of the core by a suitable Equation of State, based on a many-body theory, and the crust by a functional based on a…

Nuclear Theory · Physics 2015-06-03 M. Baldo , G. F. Burgio , M. Centelles , B. K. Sharma , X. Viñas

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

A fully self-consistent model of the neutron star inner crust based upon models of the nucleonic equation of state at zero temperature is constructed. The results nearly match those of previous calculations of the inner crust given the same…

Nuclear Theory · Physics 2008-11-26 Andrew W. Steiner

Calculations of the superfluid density in the inner crust of neutron stars by different approaches are in strong disagreement, which causes a debate on the accountability of pulsar glitches based on superfluidity. Taking a simple unified…

Nuclear Theory · Physics 2023-11-15 Yuki Minami , Gentaro Watanabe

A variety of phases in the inner crust of neutron stars are crucial for understanding the pulsar phenomena. However, the three-dimensional coordinate-space calculation of the phases is computationally demanding. We aim to generalize the…

Nuclear Theory · Physics 2025-07-14 Chengpeng Yu , Takashi Nakatsukasa

We investigate the nuclear collective excitations of Wigner-Seitz cells containing nuclear clusters immersed in a gas of neutrons. This baryonic non-uniform system is specific to the structure of inner crust matter of neutron stars. The…

Nuclear Theory · Physics 2009-11-10 E. Khan , N. Sandulescu , Nguyen Van Giai

We investigated the structure of the low density regions of the inner crust of neutron stars using the Hartree-Fock-Bogoliubov (HFB) model to predict the proton content $Z$ of the nuclear clusters and, together with the lattice spacing, the…

Nuclear Theory · Physics 2017-09-13 A. Pastore , M. Shelley , S. Baroni , C. A. Diget