Unified neutron star equations of state calibrated to nuclear properties

TL;DR

This paper presents a set of twenty-one unified neutron star equations of state calibrated to nuclear and astrophysical data, analyzing their properties and compatibility with observations, and providing spectral representations for studying oscillations.

Contribution

The work introduces a comprehensive set of unified neutron star EoS covering a range of symmetry energy slopes, with detailed analysis and spectral representations, advancing neutron star modeling.

Findings

Several EoS have a central speed of sound squared ≤ 0.5

Most EoS predict maximum central densities around 6 times nuclear saturation density

Three EoS satisfy all imposed nuclear and astrophysical constraints

Abstract

Recently, in Malik23, a dataset of several EoS for purely nucleonic stellar matter based on a non-linear RMF model prescription, and constrained to properties of nuclear matter, to state-of-the-art chiral effective field theory calculations for low-density neutron matter, and to astrophysical data, were proposed. In this work, twenty one unified neutron star EoS were chosen from that dataset, in such a way that a large range of values of the slope of the symmetry energy at saturation is covered. Several quantities are calculated and discussed, such as the the proton fraction and the direct Urca behavior, the density dependence of the speed of sound and the trace anomaly, the crust-core transition properties, the compatibility with astrophysical observations, and the neutron matter properties from $\chi$EFT calculations and pQCD constraints. We construct unified EoS, where the outer crust is given by the BSk22 functional, and the inner crust is calculated from a CLD approximation. The core is purely nucleonic, made of protons, neutrons, electrons and muons, under charge neutrality and in $\beta-$equilibrium conditions. The correlation of the slope of the symmetry energy at saturation with the crust-core transition density and proton fraction is analysed, and equations that translate these relations are proposed. Moreover, the spectral representation for all the EOS according to the format proposed in Lindblom10 is given, which is a convenient representation to study quasi-periodic oscillations with realistic EOS. It is shown that several of these EoS have in the center of the most massive NS a speed of sound squared of the order of $\lesssim 0.5$. Most of the EoS predict a maximum central density of the order of about 6 times the nuclear saturation density. Three of the EoS satisfy all of the constraints imposed. All these EoS will be made available in the CompOSE platform.