Vetting quark-star models with gravitational waves in the hierarchical Bayesian framework

Fuente: arXiv
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Autori principali: Wang, Ziming, Gao, Yong, Liang, Dicong, Zhao, Junjie, Shao, Lijing
Natura: Preprint
Pubblicazione: 2024
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author Wang, Ziming
Gao, Yong
Liang, Dicong
Zhao, Junjie
Shao, Lijing
author_facet Wang, Ziming
Gao, Yong
Liang, Dicong
Zhao, Junjie
Shao, Lijing
contents The recent discovery of gravitational waves (GWs) has opened a new avenue for investigating the equation of state (EOS) of dense matter in compact stars, which is an outstanding problem in astronomy and nuclear physics. In the future, next-generation (XG) GW detectors will be constructed, deemed to provide a large number of high-precision observations. We investigate the potential of constraining the EOS of quark stars (QSs) with high-precision measurements of mass $m$ and tidal deformability $Λ$ from the XG GW observatories. We adopt the widely-used bag model for QSs, consisting of four microscopic parameters: the effective bag constant $B_{\rm eff}$, the perturbative quantum chromodynamics correction parameter $a_4$, the strange quark mass $m_s$, and the pairing energy gap $Δ$. With the help of hierarchical Bayesian inference, for the first time we are able to infer the EOS of QSs combining multiple GW observations. Using the top 25 loudest GW events in our simulation, we find that, the constraints on $B_{\rm eff}$ and $Δ$ are tightened by several times, while $a_4$ and $m_s$ are still poorly constrained. We also study a simplified 2-dimensional (2-d) EOS model which was recently proposed in literature. The 2-d model is found to exhibit significant parameter-estimation biases as more GW events are analyzed, while the predicted $m$-$Λ$ relation remains consistent with the full model.
format Preprint
id arxiv_https___arxiv_org_abs_2409_11103
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Vetting quark-star models with gravitational waves in the hierarchical Bayesian framework
Wang, Ziming
Gao, Yong
Liang, Dicong
Zhao, Junjie
Shao, Lijing
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Nuclear Theory
The recent discovery of gravitational waves (GWs) has opened a new avenue for investigating the equation of state (EOS) of dense matter in compact stars, which is an outstanding problem in astronomy and nuclear physics. In the future, next-generation (XG) GW detectors will be constructed, deemed to provide a large number of high-precision observations. We investigate the potential of constraining the EOS of quark stars (QSs) with high-precision measurements of mass $m$ and tidal deformability $Λ$ from the XG GW observatories. We adopt the widely-used bag model for QSs, consisting of four microscopic parameters: the effective bag constant $B_{\rm eff}$, the perturbative quantum chromodynamics correction parameter $a_4$, the strange quark mass $m_s$, and the pairing energy gap $Δ$. With the help of hierarchical Bayesian inference, for the first time we are able to infer the EOS of QSs combining multiple GW observations. Using the top 25 loudest GW events in our simulation, we find that, the constraints on $B_{\rm eff}$ and $Δ$ are tightened by several times, while $a_4$ and $m_s$ are still poorly constrained. We also study a simplified 2-dimensional (2-d) EOS model which was recently proposed in literature. The 2-d model is found to exhibit significant parameter-estimation biases as more GW events are analyzed, while the predicted $m$-$Λ$ relation remains consistent with the full model.
title Vetting quark-star models with gravitational waves in the hierarchical Bayesian framework
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Nuclear Theory
url https://arxiv.org/abs/2409.11103