Inner crust of neutron stars with mass-fitted Skyrme functionals

J. M. Pearson, N. Chamel, S. Goriely, and C. Ducoin

Phys. Rev. C 85, 065803 – Published 11 June 2012

Abstract

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 temperature-dependent extended Thomas-Fermi plus Strutinsky integral method, for each of a family of three functionals based on Skyrme-type forces BSk19, BSk20, and BSk21, which are characterized by different degrees of symmetry-energy stiffness, and also for the SLy4 functional. We also solve the Tolman-Oppenheimer-Volkoff equations to calculate the distribution of mass within the inner crust. Qualitatively similar results are found for all four functionals, and in particular the number of protons per Wigner-Seitz cell is in all cases equal to 40 throughout the inner crust.

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Received 22 August 2011

DOI:https://doi.org/10.1103/PhysRevC.85.065803

Authors & Affiliations

J. M. Pearson¹, N. Chamel², S. Goriely², and C. Ducoin^3,4

¹Département de Physique, Université de Montréal, Montréal, Québec H3C 3J7, Canada
²Institut d'Astronomie et d'Astrophysique, CP-226, Université Libre de Bruxelles, 1050 Brussels, Belgium
³CFC, Department of Physics, University of Coimbra, P3004-516 Coimbra, Portugal
⁴Institut de Physique Nucléaire de Lyon, CNRS/IN2P3, Université Claude Bernard Lyon 1, Villeurbanne, France

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Vol. 85, Iss. 6 — June 2012

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Physical Review C

covering nuclear physics