Massive Neutron Stars with a Color Superconducting Quark Matter Core

Abstract

We construct the equation of state for high density neutron star matter at zero temperature using the two-flavor Nambu--Jona-Lasinio (NJL) model as an effective theory of QCD. We build nuclear matter, quark matter, and the mixed phases from the same NJL Lagrangian, which has been used to model free and in-medium hadrons as well as nuclear systems. A focus here is to determine if the same coupling constants in the scalar diquark and vector meson channels, which give a good description of nucleon structure and nuclear matter, can also be used for the color superconducting high density quark matter phase. We find that this is possible for the scalar diquark (pairing) interaction, but the vector meson interaction has to be reduced so that superconducting quark matter becomes the stable phase at high densities. We compare our equation of state with recent phenomenological parametrizations based on generic stability conditions for neutron stars. We find that the maximum mass of a neutron star, with a color superconducting quark matter core, exceeds $2.01\pm 0.04M_{\odot }$ which is the value of the recently observed massive neutron star PSR J0348+0432. The mass-radius relation is also consistent with gravitational wave observations (GW170817).

arXiv comment11 pages, 7 figures

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Cited by in corpus (9)

• Delta baryons and diquark formation in the cores of neutron stars
• Oscillating magnetised hybrid stars under the magnifying glass of multi-messenger observations
• Novel neutron decay mode inside neutron stars
• Gluon and valence quark distributions for the pion and kaon in nuclear matter
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• Impact of Charge Symmetry Breaking on Gluon and Sea Quark Distributions in the Pion and Kaon
• Interacting quark matter effects on the structure of compact stars