Abstract

Phases of nuclear matter are crucial in the determination of physical properties of neutron stars (NS). In the core of NS, the density and pressure become so large that the nuclear matter possibly undergoes phase transition into a deconfined phase, consisting of quarks and gluons and their colour bound states. Even though the quark-gluon plasma has been observed in ultra-relativistic heavy-ion collisions (Gyulassy and McLerran, Nucl Phys A 750:30–63, 2005; Andronic et al., Nature 561: 321–330, 2018), it is still unclear whether exotic quark matter exists inside neutron stars. Recent results from the combination of various perturbative theoretical calculations with astronomical observations (Demorest et al., Nature 467:1081–1083, 2010; Antoniadis et al., Science 340:1233232, 2013) shows that (exotic) quark matter could exist inside the cores of neutron stars above 2.0 solar masses (M_{odot }) (Annala et al., Nat Phys, https://doi.org/10.1038/s41567-020-0914-9, arXiv:1903.09121 [astro-ph.HE], 2020). We revisit the holographic model in Refs. (Burikham et al., JHEP 05:006, arXiv:0811.0243 [hep-ph], 2009; Burikham et al., JHEP 06:040, arXiv:1003.5470 [hep-ph], 2010) and implement the equation of states (EoS) of multiquark nuclear matter to interpolate the pQCD EoS in the high-density region with the nuclear EoS known at low densities. For sufficiently large energy density scale (epsilon _{s}) of the model, it is found that multiquark phase is thermodynamically prefered than the stiff nuclear matter above the transition points. The NS with holographic multiquark core could have masses in the range 1.96{-}2.23~(1.64{-}2.10) M_{odot } and radii 14.3{-}11.8~(14.0{-}11.1) km for epsilon _{s}=26~(28) GeV/fm^{3} respectively. Effects of proton–baryon fractions are studied for certain type of baryonic EoS; larger proton fractions could reduce radius of the NS with multiquark core by less than a kilometer.

Highlights

  • In the final fate, a star collapses under its own gravity when the internal pressure from nuclear fuel is depleted

  • Due to the nonperturbative nature of the strong interaction, the difficulty of lattice QCD approach when dealing with finite baryon density, and a reliability issue of MIT bag as a tool to study the behaviour of the deconfined quarks and gluons in the dense star, we use the equation of state of the deconfined nuclear matter from the holographic model as a complementary tool to investigate the properties of the dense star

  • There is a limitation that comes from the wellstudied neutron stars (NS) crust region [23] to the density nCET ≡ 1.1n0, where matter occupies the hadronic-matter phase using chiral effective field theory (CET) which provides the equation of states (EoS) to good precision, currently better than ±24% [12,24]

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Summary

Introduction

A star collapses under its own gravity when the internal pressure from nuclear fuel is depleted. Due to the nonperturbative nature of the strong interaction, the difficulty of lattice QCD approach when dealing with finite baryon density, and a reliability issue of MIT bag as a tool to study the behaviour of the deconfined quarks and gluons in the dense star, we use the equation of state of the deconfined nuclear matter from the holographic model as a complementary tool to investigate the properties of the dense star. [7] and match the EoS of multiquark nuclear matter with the low and high density EoS and demonstrate that it can interpolate well between the two regions.

Holographic multiquark and the EoS
Holographic multiquark configuration
Equation of state
Equation of state for multiquark
EoS of the NS
EoS of nuclear matter in low and intermediate density regime
EoS of SS model for high density
Phase transition between confined baryonic matter and multiquark matter
Matching of holographic multiquark EoS with low-density nuclear matter EoS
MR diagram of NS with multiquark core
Effects of finite temperature and the proton-baryon ratio on the MR diagram
Findings
Conclusions and discussions
Full Text
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