Comprehensive Analysis of Constructing Hybrid Stars with an RG-consistent NJL Model

Abstract

In this work, we investigate the properties of hadronic and quark matter that would allow for a first order phase transition between them within neutron stars. To this end, we use a parameterizable Relativistic Mean-Field (RMF) description for the hadronic phase and a Renormalization Group-consistent Nambu-Jona-Lasino (RG-NJL) model for the quark phase. This also enables us to consider sequential phase transitions involving a two-flavor color-superconducting (2SC) and a color-flavor-locked (CFL) phase. We find large ranges for all parameters that facilitate a phase transition, even when constrained by current astrophysical data. We further attempt to filter out stars with a high chance of detectability by mass-radius measurement, i.e., stars with identical mass but different radii, so-called twin stars. However, we find that such configurations are outside the constrained parameter spaces. Instead, most of the mass-radius relations that feature a phase transition appear to be indistinguishable from a purely hadronic description.

13 pages, 5 figures

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• Bayesian Quantification of Observability and Equation of State of Twin Stars
• Bayesian Inference of Hybrid Star Properties from Future High-Precision Measurements of Their Radii
• Bayesian inference favors quark matter in neutron star interiors
• Quantifying the Information Gain from Future High-Precision Radius Measurements for Identifying Twin Neutron Stars
• Isentropic hybrid stars in the Nambu-Jona-Lasinio model: effects of neutrino trapping