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Constraining the dense matter equation of state with joint analysis of NICER and LIGO/Virgo measurements (1912.11031v3)

Published 23 Dec 2019 in astro-ph.HE and nucl-th

Abstract: The NICER collaboration recently published a joint estimate of the mass and the radius of PSR J0030+0451, derived via X-ray pulse-profile modeling. Raaijmakers et al. (2019) explored the implications of this measurement for the dense matter equation of state (EOS) using two parameterizations of the high-density EOS: a piecewise-polytropic model, and a model based on the speed of sound in neutron stars. In this work we obtain further constraints on the EOS following this approach, but we also include information about the tidal deformability of neutron stars from the gravitational wave signal of the compact binary merger GW170817. We compare the constraints on the EOS to those set by the recent measurement of a 2.14 solar mass pulsar, included as a likelihood function approximated by a Gaussian, and find a small increase in information gain. To show the flexibility of our method, we also explore the possibility that GW170817 was a neutron star-black hole merger, which yields weaker constraints on the EOS.

Citations (160)

Summary

Multi-Messenger Constraints on the Dense Matter Equation of State

The paper "Constraining the dense matter equation of state with joint analysis of NICER and LIGO/Virgo measurements" by Raaijmakers et al. investigates the constraints on the equation of state (EOS) of dense matter within neutron stars. Utilizing observational data sources from the Neutron Star Interior Composition Explorer (NICER) and the LIGO/Virgo gravitational wave observations, the authors aim to refine the understanding of the EOS that governs the properties of neutron stars, which represent a unique high-density matter regime.

Methods and Data Integration

The paper applies a comprehensive Bayesian framework to combine multi-messenger data from NICER, which provides X-ray pulse-profile modeling of the millisecond pulsar PSR~J0030+0451, and the gravitational wave data from the binary neutron star merger event GW170817. The authors leverage both a piecewise-polytropic EOS model and a model based on the speed of sound within neutron stars to parameterize the EOS at supra-nuclear densities. These models incorporate constraints from nuclear physics up to nuclear saturation density.

Critically, this analysis includes the high-precision mass measurement of a $2.14$ M⊙_{\odot} pulsar via radio pulsar timing, which provides a stringent lower bound on the maximum mass of neutron stars and significantly influences possible EOS forms.

Results and EOS Implications

The paper finds that the multi-messenger data collectively improve our understanding of the EOS by constraining the permissible ranges of neutron star radii and pressures at given densities. The gravitational wave observations of GW170817, when considered with the NICER-derived mass-radius estimates, suggest a preference for stiffer EOS models, yielding larger neutron star radii than prior constraints not incorporating multi-messenger data. The joint posterior distributions obtained illustrate that most substantive information about the EOS comes from the pulsar mass measurement, while the contributions from X-ray and gravitational wave data help fine-tune the possible parameter space.

Furthermore, the consideration of GW170817 either as a neutron star-neutron star (NS-NS) merger or a neutron star-black hole (NS-BH) merger reveals nuanced differences. Assuming a NS-BH scenario accommodates slightly larger maximum neutron star masses and radii because it allows the heavier object to be a non-deformable black hole, thereby modifying the gravitational wave tidal deformability constraints. However, both merger scenarios imply consistency and provide viable pathways for EOS inference when electromagnetic constraints on the kilonova emission are included.

Future Prospects

This paper underscores the potential of incorporating additional neutron star observations in various electromagnetic spectra and gravitational wave detectors, promising to further narrow down possible EOS forms. The meticulous Bayesian framework for joint analysis of forthcoming multi-messenger data holds the promise of not only constraining the macroscopic features of neutron stars but also gaining insights into the microphysics of dense matter.

The research contributes to a critical dataset that improves understanding of fundamental physics under extreme conditions. The work aids in determining the limits of nuclear physics models, influencing our interpretation of nuclear interactions, neutron-rich matter, and potentially informing approaches in quantum chromodynamics as they pertain to dense matter. Future developments in astronomy, including deep-space missions and next-generation gravitational wave observatories, should continue building on this robust multi-messenger paradigm.

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