Finite-size effects on the hadron-quark phase transition in neutron stars

Abstract

We study the finite-size effects, like the surface and Coulomb energies, on the hadron-quark mixed phase in neutron stars. The equilibrium conditions for coexisting hadronic and quark phases are derived by minimizing the total energy including the surface and Coulomb contributions, which are different from the Gibbs conditions without finite-size effects. We employ the relativistic mean-field model to describe the hadronic phase, while the Nambu-Jona-Lasinio model with vector interactions is used for the quark phase. It is found that finite-size effects can significantly reduce the region of the mixed phase, and the results lie between those of the Gibbs and Maxwell constructions. We show that a massive star may contain a mixed-phase core and its size depends on the surface tension of the hadron-quark interface and the vector coupling between quarks. The repulsive vector interaction in the Nambu-Jona-Lasinio model can stiffen the equation of state of quark matter, and therefore, delay the phase transition and increase the maximum mass of neutron stars.

22 pages, 15 figures

References in corpus (12)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• Inhomogeneous chiral condensates
• Hadron-quark mixed phase in hyperon stars
• Stability of CFL cores in Hybrid Stars
• Influence of the hadronic equation of state on the hadron-quark phase transition in neutron stars
• Effects of the symmetry energy on properties of neutron star crusts near the neutron drip density
• Quark magnetar in three-flavor Nambu--Jona-Lasinio model with vector interaction and magnetized gluon potential
• Two-solar-mass hybrid stars: a two model description with the Nambu-Jona-Lasinio quark model
• Repulsive Vector Interaction in Three Flavor Magnetized Quark and Stellar Matter
• Phase transition and properties of compact star
• Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction

Cited by in corpus (16)

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• Delta baryons and diquark formation in the cores of neutron stars
• Hadron-quark mixed phase in the quark-meson coupling model
• Feeble DM-SM Interaction via New Scalar and Vector Mediators in Rotating Neutron Stars
• Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu--Jona-Lasinio model
• Phase Transitions in Neutron Stars
• Hybrid stars are compatible with recent astrophysical observations
• Hadron-quark phase transition in the SU(3) local Nambu-Jona-Lasinio (NJL) model with vector interaction
• Effects of Hadron-Quark Phase Transitions in Hybrid Stars within the NJL Model
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• A Detailed Analysis of the Special Points on $M-R$ Solutions of Hybrid (Twin) Stars
• Properties of Hybrid Stars with Density Dependent Bag Model
• Variation of delta baryon mass and hybrid star properties in static and rotating conditions
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Role of $\Delta$s in determining the properties of Neutron Stars in parameterized hydrostatic equilibrium
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas