Cold quark matter in a quasiparticle model: thermodynamic consistency and stellar properties

Abstract

The strong coupling in the effective quark mass was usually taken as a constant in a quasiparticle model while it is, in fact, running with an energy scale. With a running coupling, however, the thermodynamic inconsistency problem appears in the conventional treatment. We show that the renormalization subtraction point should be taken as a function of the summation of the biquadratic chemical potentials if the quark's current masses vanish, in order to ensure full thermodynamic consistency. Taking the simplest form, we study the properties of up-down ($ud$) quark matter, and confirm that the revised quasiparticle model fulfills the quantitative criteria for thermodynamic consistency. Moreover, we find that the maximum mass of an $ud$ quark star can be larger than two times the solar mass, reaching up to $2.31M_{\odot }$, for reasonable model parameters. However, to further satisfy the upper limit of tidal deformability ${\tilde{\Lambda }}_{1.4}\le 580$ observed in the event GW170817, the maximum mass of an $ud$ quark star can only be as large as $2.08M_{\odot }$, namely $M_{\text{max}}\lesssim 2.08M_{\odot }$. In other words, our results indicate that the measured tidal deformability for event GW170817 places an upper bound on the maximum mass of $ud$ quark stars, but which does not rule out the possibility of the existence of quark stars composed of $ud$ quark matter, with a mass of about two times the solar mass.

arXiv comment10 pages, 8 figures

References in corpus (63)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Relativistic Shapiro delay measurements of an extremely massive millisecond pulsar
• NJL-model analysis of dense quark matter
• Tidal Love numbers of neutron stars
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
• Strange Quark Matter and Compact Stars
• Cold Quark Matter
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Peering into the dark side: magnesium lines establish a massive neutron star in PSR J2215+5135
• Small, Dense Quark Stars from Perturbative QCD
• The QCD Running Coupling
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• The Equation of State of Deconfined Matter at Finite Chemical Potential in a Quasiparticle Description
• Quark Matter in Strong Magnetic Field
• Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
• From QCD lattice calculations to the equation of state of quark matter
• On the running coupling constant in QCD
• Limiting masses and radii of neutron stars and their implications
• Thermodynamics, strange quark matter, and strange stars
• Quark matter may not be strange
• The role of quark mass in cold and dense perturbative QCD
• Medium effects in strange quark matter and strange stars
• Mass formulas and thermodynamic treatment in the mass-density-dependent model of strange quark matter
• Deconfinement phase transition in hybrid neutron stars from the Brueckner theory with three-body forces and a quark model with chiral mass scaling
• Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets
• Strange quark stars within the Nambu-Jona-Lasinio model
• Quark matter symmetry energy and quark stars
• Thermodynamic consistency, quark mass scaling, and properties of strange matter
• Quark stars within relativistic models
• Unified Interacting Quark Matter and its Astrophysical Implications
• QCD Critical Point in a Quasiparticle Model
• Quark-nuclear hybrid equation of state for neutron stars under modern observational constraints
• Quasi-particle model of QGP - a revisit
• Do the current astronomical observations exclude the existence of non-strange quark stars?
• Strange matter and strange stars in a thermodynamically self-consistent perturbation model with running coupling and running strange quark mass
• Probing up-down quark matter via gravitational waves
• Magnetized strange quark matter in a quasiparticle description
• Non-strange quark stars from NJL model with proper-time regularisation
• Perturbative QCD at non-zero chemical potential: Comparison with the large-Nf limit and apparent convergence
• Quantum nucleation of up-down quark matter and astrophysical implications
• Interacting $ud$ and $uds$ quark matter at finite densities and quark stars
• GW190814: Circumstantial Evidence for Up-Down Quark Star
• Tidal deformability of strange stars and the GW170817 event
• Density dependent quark mass model revisited: Thermodynamic consistency, stability windows and stellar properties
• Interface effects of strange quark matter with density dependent quark masses
• Non-Newtonian gravity in strange quark stars and constraints from the observations of PSR J0740+6620 and GW170817
• Strange quark matter with effective quark masses
• Constraints from compact star observations on non-Newtonian gravity in strange stars based on a density dependent quark mass model
• Non-strange quark stars within resummed QCD
• Compact star merger events with stars composed of interacting strange quark matter
• Fluid pulsation modes and tidal deformability of anisotropic strange stars in light of the GW$170817$ event
• Interface effects of quark matter: Light-quark nuggets and compact stars
• Structure of Compact Stars in Pion Superfluid Phase
• Tidal Deformability of Strange Quark Planets and Strange Dwarfs
• The study of nonstrange quark stars within a modified NJL model
• QCD equation of state and the structure of neutron stars in NJL model
• The role of quark mass in cold and dense pQCD and quark stars
• Landau quantization and spin polarization of cold magnetized quark matter

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• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models