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We investigated the superfluid properties of the inner crust of neutron stars, solving the Hartree-Fock-Bogoliubov equations in spherical Wigner-Seitz cells. Using realistic two-body interactions in the pairing channel, we studied in detail…

Nuclear Theory · Physics 2013-05-29 Alessandro Pastore , Simone Baroni , Cristina Losa

The neutron superfluidity in the inner crust of a neutron star has been traditionally studied considering either homogeneous neutron matter or only a small number of nucleons confined inside the spherical Wigner-Seitz cell. Drawing…

Nuclear Theory · Physics 2010-04-22 N. Chamel , S. Goriely , J. M. Pearson , M. Onsi

A semi-microscopic self-consistent quantum approach developed recently to describe the inner crust structure of neutron stars within the Wigner-Seitz method with the explicit inclusion of neutron and proton pairing correlations is used for…

Nuclear Theory · Physics 2008-11-26 M. Baldo , E. E. Saperstein , S. V. Tokollonikov

We analyse how the structure of the inner curst is influenced by the pairing correlations. The inner-crust matter, formed by nuclear clusters immersed in a superfluid neutron gas and ultra-relativistic electrons, is treated in the…

Nuclear Theory · Physics 2015-05-28 F. Grill , J. Margueron , N. Sandulescu

The influence of the boundary conditions used in the Wigner-Seitz (WS) approximation applied to the neutron star inner crust is examined. The generalized energy functional method which includes the neutron and proton pairing correlations is…

Nuclear Theory · Physics 2016-09-08 M. Baldo , E. E. Saperstein , S. V. Tolokonnikov

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 ground-state properties of neutron-rich nuclear clusters in the inner crust of neutron stars are investigated within the Wigner-Seitz approximation using a relativistic mean-field framework. The radial Dirac equations are solved with an…

Nuclear Theory · Physics 2026-05-08 Jinzhe Zhang , Hong Shen , Ying Zhang , Jinniu Hu

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

For more than three decades, the inner crust of neutron stars, formed of a solid lattice of nuclear clusters coexisting with a gas of electrons and neutrons, has been traditionally studied in the Wigner-Seitz approximation. The validity of…

Astrophysics · Physics 2017-08-23 N. Chamel

We investigate the superfluid properties of the inner crust of neutron stars at finite temperature for different pairing functionals. We generalize the formalism adopted in previous article to include the effect of the temperature to…

Nuclear Theory · Physics 2015-06-12 A. Pastore

Superfluidity in the crust is a key ingredient for the cooling properties of proto-neutron stars. Present theoretical calculations employ the quasi-particle mean-field Hartree-Fock-Bogoliubov theory with temperature dependent occupation…

Nuclear Theory · Physics 2015-11-03 S. Burrello , F. Gulminelli , F. Aymard , M. Colonna , Ad. R. Raduta

Nuclear matter and finite nuclei exhibit the property of superfluidity by forming Cooper pairs. We review the microscopic theories and methods that are being employed to understand the basic properties of superfluid nuclear systems, with…

Nuclear Theory · Physics 2019-09-27 Armen Sedrakian , John W. Clark

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

Superfluid properties of the inner crust matter of neutron stars, formed by nuclear clusters immersed in a dilute neutron gas, are analysed in a self- consistent HFB approach. The calculations are performed with two pairing forces, fixed so…

Nuclear Theory · Physics 2009-11-10 N. Sandulescu , Nguyen Van Giai , R. J. Liotta

The properties of neutron matter are integral to the correct description of neutron stars as well as the description of neutron-rich nuclei. One key property of neutron matter is its superfluid behaviour in a range of densities relevant to…

Nuclear Theory · Physics 2021-01-21 Georgios Palkanoglou , Fotis K. Diakonos , Alexandros Gezerlis

The influence of the boundary conditions used in the Wigner-Seitz approximation applied to the neutron star inner crust is examined. The generalized energy functional method which includes neutron and proton pairing correlations is used.…

Nuclear Theory · Physics 2007-05-23 M. Baldo , E. E. Saperstein , S. V. Tolokonnikov

The poorly known crustal equation of state plays a critical role in many observational phenomena associated with a neutron star. Using semi-classical Monte Carlo simulations, we explore the possible configurations of the inner edge of the…

Nuclear Theory · Physics 2025-09-11 R. Shafieepour , H. R. Moshfegh , J. Piekarewicz

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

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

The structure of Wigner-Seitz cells in the inner crust of neutron stars is investigated using a microcospic Hartree-Fock-BCS approach with finite range D1S and M3Y-P4 interactions. Large effects on the densities are found compared to…

Nuclear Theory · Physics 2011-01-17 Hoang Sy Than , E. Khan , Nguyen Van Giai
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