Constraints on the inner edge of neutron star crusts from relativistic nuclear energy density functionals

preprint2010arXivOpen access

Abstract

The transition density ntn_t and pressure PtP_t at the inner edge between the liquid core and the solid crust of a neutron star are analyzed using the thermodynamical method and the framework of relativistic nuclear energy density functionals. Starting from a functional that has been carefully adjusted to experimental binding energies of finite nuclei, and varying the density dependence of the corresponding symmetry energy within the limits determined by isovector properties of finite nuclei, we estimate the constraints on the core-crust transition density and pressure of neutron stars: 0.086 fm−3≤nt<0.090 fm−30.086 \ {\rm fm}^{-3} \leq n_t < 0.090 \ {\rm fm}^{-3} and 0.3 MeV fm−3<Pt≤0.76 MeV fm−30.3\ {\rm MeV \ fm}^{-3} < P_t \leq 0.76 \ {\rm MeV \ fm}^{-3}.

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