Core-crust transition in neutron stars: predictivity of density developments

Abstract

The possibility to draw links between the isospin properties of nuclei and the structure of compact stars is a stimulating perspective. In order to pursue this objective on a sound basis, the correlations from which such links can be deduced have to be carefully checked against model dependence. Using a variety of nuclear effective models and a microscopic approach, we study the relation between the predictions of a given model and those of a Taylor density development of the corresponding equation of state: this establishes to what extent a limited set of phenomenological constraints can determine the core-crust transition properties. From a correlation analysis we show that a) the transition density ${\rho }_t$ is mainly correlated with the symmetry energy slope $L$, b) the proton fraction $Y_{p,t}$ with the symmetry energy and symmetry energy slope $(J,L)$ defined at saturation density, or, even better, with the same quantities defined at $\rho =0.1$ fm${}^{-3}$, and c) the transition pressure $P_t$ with the symmetry energy slope and curvature $(J,K_{\mathrm{sym}})$ defined at $\rho =0.1$ fm${}^{-3}$.

References in corpus (13)

• Neutron-Rich Nuclei in Heaven and Earth
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• The symmetry energy at subnuclear densities and nuclei in neutron star crusts
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Incompressibility of neutron-rich matter
• Isospin-dependent clusterization of Neutron-Star Matter
• Nuclear symmetry energy and core-crust transition in neutron stars: a critical study
• Cluster formation in compact stars: relativistic versus Skyrme models
• Elementary excitations in homogeneous neutron star matter
• Spinodal instabilities of asymmetric nuclear matter within the Brueckner--Hartree--Fock approach