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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 investigate the inner crust structure of neutron stars using the Skyrme-Hartree-Fock approach with the Coulomb interaction treated beyond the Wigner-Seitz approximation. Our results suggest that the shell effects associated with unbound…

Nuclear Theory · Physics 2009-11-07 Piotr Magierski , Paul-Henri Heenen

Context. In the cooling process of a non-accreting neutron star, the composition and properties of the crust are thought to be fixed at the finite temperature where nuclear reactions fall out of equilibrium. A lower estimation for this…

High Energy Astrophysical Phenomena · Physics 2020-03-11 T. Carreau , F. Gulminelli , N. Chamel , A. F. Fantina , J. M. Pearson

The cell structure of clusters in the inner crust of a cold \beta-equilibrium neutron star is studied within a Thomas Fermi approach and compared with other approaches which include shell effects. Relativistic nuclear models are considered.…

Nuclear Theory · Physics 2015-06-04 Fabrizio Grill , Sidney S. Avancini , Constança Providência

In order to study structure of the crust in neutron stars, we develop a finite-temperature Skyrme-Hartree-Fock method in the full three-dimensional coordinate space using the Fermion operator expansion method. It provides us with a possible…

Nuclear Theory · Physics 2023-03-02 Takashi Nakatsukasa

A compressible liquid-drop model (CLDM) is used to correlate uncertainties associated with the properties of the neutron star (NS) crust with theoretical estimates of the uncertainties associated with the equation of state (EOS) of…

Nuclear Theory · Physics 2022-03-29 G. Grams , R. Somasundaram , J. Margueron , S. Reddy

Nuclear pairing is studied both in atomic nuclei and in neutron-star crusts in the unified framework of the energy-density functional theory using generalized Skyrme functionals complemented with a local pairing functional obtained from…

Nuclear Theory · Physics 2017-08-23 N. Chamel , J. M. Pearson , S. Goriely

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 main contribution to the effective shear modulus of neutron star crust can be calculated within Coulomb solid model and can be approximated by simple analytical expression for arbitrary (even multicomponent) composition. Here I consider…

High Energy Astrophysical Phenomena · Physics 2023-10-02 Andrey I. Chugunov

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 aim to develop a nuclear energy density functional that can be simultaneously applied to finite nuclei and neutron stars. We use the self-consistent nuclear density functional theory (DFT) with Skyrme energy density functionals and…

Nuclear Theory · Physics 2015-01-28 J. Erler , C. J. Horowitz , W. Nazarewicz , M. Rafalski , P. -G. Reinhard

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 study proximity effect of pair correlation in the inner crust of neutron stars by means of the Skyrme-Hartree-Fock-Bogoliubov theory formulated in the coordinate space. We describe a system composed of a nuclear cluster immersed in…

Nuclear Theory · Physics 2020-09-25 Toshiyuki Okihashi , Masayuki Matsuo

We study properties of the proton component of neutron star matter for a number of realistic nuclear models. Protons which form a few percent admixture tend to be localized in potential wells corresponding to neutron matter inhomogeneities…

Astrophysics · Physics 2007-05-23 M. Kutschera , S. Stachniewicz , A. Szmaglinski , W. Wojcik

The mass, radius and crustal fraction of moment of inertia in neutron stars are calculated using $\beta$-equilibrated nuclear matter obtained from Skyrme effective interaction. The transition density, pressure and proton fraction at the…

Nuclear Theory · Physics 2017-07-18 K. Madhuri , D. N. Basu , T. R. Routray , S. P. Pattnaik

We explore the density variation of the correlation coefficient of the key parameters of the nuclear equation of state (EoS) with the bulk and crustal properties of neutron stars. The analysis was performed using two diverse sets of nuclear…

Nuclear Theory · Physics 2025-06-26 Naosad Alam , Subrata Pal

The unbound nature of pure neutron matter (PNM) requires intrinsic correlations between the symmetric nuclear matter (SNM) EOS parameters (incompressibility $K_0$, skewness $J_0$ and kurtosis $I_0$) and those (slope $L$, curvature…

Nuclear Theory · Physics 2021-03-12 Bao-Jun Cai , Bao-An Li

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

The properties of inhomogeneous nuclear matter are investigated considering the self-consistent Skyrme Hartree-Fock approach with inclusion of pairing correlations. For a comparison we also consider a relativistic mean field approach. The…

Nuclear Theory · Physics 2008-11-26 P. Gögelein , H. Müther

The binary neutron-star merger event, GW170817, has cast a new light on nuclear physics research. Using a neutron-star model that includes a crust equation of state (EoS), we calculate the properties of a 1.4 solar-mass neutron star. The…

Nuclear Theory · Physics 2019-09-04 C. Y. Tsang , M. B. Tsang , Pawel Danielewicz , W. G. Lynch , F. J. Fattoyev