A Detailed Analysis of the Special Points on $M-R$ Solutions of Hybrid (Twin) Stars

Abstract

Hadron-quark phase transition in neutron star cores is achieved in the present work with the help of Maxwell construction. For the purpose we employ six different and well-known hadronic models for the pure hadronic phase. The quark phase is described with the MIT Bag model in which the density dependence of the bag pressure $B(\rho )$ is invoked for different asymptotic values ($B_{as}$) of $B(\rho )$. The resulting hybrid star (HS) configurations exhibit twin star characteristics and distinct special points (SPs) on the mass-radius diagram of the HSs irrespective of the transition densities and the value of $B_{as}$. We find that for any particular value of $B_{as}$, the mass corresponding to SP ($M_{SP}$) and the maximum mass ($M_{max}$) of the HSs, obtained with different hadronic models, follow a nearly linear (fitted) relationship where the slope is independent of the value of $B_{as}$. The $M_{SP}-M_{max}$ dependence of the HSs is found to be consistent with any hadronic equation of state (EoS) chosen to obtain the hybrid EoS and thus such relations can be considered as universal relations in the context of formation of SPs. A change in the value of $B_{as}$ shifts the position of the fitted line in the $M_{SP}-M_{max}$ plane, with the linearity, however, retained.

13 pages; 7 figures; Accepted for Publication in Physical Review D https://journals.aps.org/prd/accepted/b107bQ7fEb41083340418474f8dc31f6f0a84d6b2

References in corpus (44)

• A Massive Pulsar in a Compact Relativistic Binary
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• A NICER View of PSR J0030+0451: Millisecond Pulsar Parameter Estimation
• Tidal Love numbers of neutron stars
• A NICER View of the Massive Pulsar PSR J0740+6620 Informed by Radio Timing and XMM-Newton Spectroscopy
• Refined Mass and Geometric Measurements of the High-Mass PSR J0740+6620
• Neutron-star radius constraints from GW170817 and future detections
• Implications of PREX-II on the equation of state of neutron-rich matter
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Hyperon Puzzle: Hints from Quantum Monte Carlo Calculations
• Signals of the QCD phase transition in core-collapse supernovae
• Incompressibility in finite nuclei and nuclear matter
• Hyperon mixing and universal many-body repulsion in neutron stars
• Hadron-quark mixed phase in hyperon stars
• Equation of state and thickness of the inner crust of neutron stars
• Uncertainty Quantification for Nuclear Density Functional Theory and Information Content of New Measurements
• Non-rotating and rotating neutron stars in the extended field theoretical model
• Astrophysical Implications of Equation of State for Hadron-Quark Mixed Phase: Compact Stars and Stellar Collapses
• Asymmetric nuclear matter and neutron-skin in extended relativistic mean field model
• The Vlasov formalism for extended relativistic mean field models: the crust-core transition and the stellar matter equation of state
• Was GW170817 a canonical neutron star merger? Bayesian analysis with a third family of compact stars
• Twin stars and the stiffness of the nuclear equation of state: ruling out strong phase transitions below $1.7n_0$ with the new NICER radius measurements
• Quark-nuclear hybrid equation of state for neutron stars under modern observational constraints
• Gravitational-wave Signature of a First-order Quantum Chromodynamics Phase Transition in Core-Collapse Supernovae
• Quark deconfinement transition in hyperonic matter
• Finite-size effects on the hadron-quark phase transition in neutron stars
• Neutron stars with large quark cores
• On the coefficients of the liquid drop model mass formulae and nuclear radii
• Constraining quark-hadron interface tension in the multi-messenger era
• Studying the onset of deconfinement with multi-messenger astronomy of neutron stars
• The special point on the hybrid star mass--radius diagram and its multi--messenger implications
• Phase Transitions in Neutron Stars
• Hybrid neutron stars in the mass-radius diagram
• Special point on the mass radius diagram of hybrid stars
• The possibility of twin star solutions in a model based on lattice QCD thermodynamics
• Stable configurations of hybrid stars with colour-flavour-locked core
• Symmetry energy effects on the properties of hybrid stars
• Finding quark content of neutron stars in light of GW170817
• Studying VLOCV twin compact stars with binary mergers
• Properties of Hybrid Stars with Density Dependent Bag Model
• Variation of delta baryon mass and hybrid star properties in static and rotating conditions
• Rotating Hybrid Stars with Color-Flavor-Locked Quark Matter
• On the energy budget of the transition of a neutron star into the third family branch
• Structure and tidal deformability of a hybrid star within the framework of the field correlator method

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• Hybrid stars in light of the HESS J1731-347 remnant and the PREX-II experiment
• Speed of Sound in Hybrid Stars and the Role of Bag Pressure in the Emergence of Special Points on M-R Variation of Hybrid Stars
• Constraints on Density Dependent MIT Bag Model Parameters for Quark and Hybrid Stars
• Medium Effects in MIT Bag Model for quark matter: Self consistent thermodynamical treatment
• Signatures of quark deconfinement through the r-modes of twin stars
• Is the central compact object in HESS J1731-347 a hybrid star with a quark core? An analysis with the constant speed of sound parametrization
• Exploring pathways to forming twin stars
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