Comparison between the Thomas-Fermi and Hartree-Fock-Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations

Abstract

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 self-consistent Hartree-Fock-Bogoliubov approach, showing that the resulting discrepancy, apart from the very low density region, is compatible with the typical accuracy we can achieve with standard mean-field methods.

arXiv comment17 pages, 8 figures, published in Universe

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• The proto-neutron star inner crust in the liquid phase
• Superfluid fraction in the crystalline crust of a neutron star: role of BCS pairing
• Role of neutron pairing with density-gradient dependence in the semi-microscopic treatment of the inner crust of neutron stars
• Light clusters in the liquid proto-neutron star inner crust
• Superfluid neutron matter with a twist
• Effect of the equation of state for dilute neutron matter on the composition of the inner crust of neutron stars
• Neutron Star Inner Crust at Finite Temperatures: A Comparison Between Compressible Liquid Drop and Extended Thomas-Fermi Approaches
• On variational trial functions in the extended Thomas-Fermi method
• Unified Equation of State for Neutron Stars Based on the Gogny Interaction