Published August 15, 2023 | Version Published
Journal Article Open

Phase transition phenomenology with nonparametric representations of the neutron star equation of state

  • 1. ROR icon California Institute of Technology

Abstract

Astrophysical observations of neutron stars probe the structure of dense nuclear matter and have the potential to reveal phase transitions at high densities. Most recent analyses are based on parametrized models of the equation of state with a finite number of parameters and occasionally include extra parameters intended to capture phase-transition phenomenology. However, such models restrict the types of behavior allowed and may not match the true equation of state. We introduce a complementary approach that extracts phase transitions directly from the equation of state without relying on, and thus being restricted by, an underlying parametrization. We then constrain the presence of phase transitions in neutron stars with astrophysical data. Current pulsar mass, tidal deformability, and mass-radius measurements disfavor only the strongest of possible phase transitions (latent energy per particle ≳100  MeV). Weaker phase transitions are consistent with observations. We further investigate the prospects for measuring phase transitions with future gravitational-wave observations and find that catalogs of O(100) events will (at best) yield Bayes factors of ∼10:1 in favor of phase transitions even when the true equation of state contains very strong phase transitions. Our results reinforce the idea that neutron star observations will primarily constrain trends in macroscopic properties rather than detailed microscopic behavior. Fine-tuned equation of state models will likely remain unconstrained in the near future.

Copyright and License

© 2023 American Physical Society.

Acknowledgement

The authors thank Aditya Vijaykumar for reviewing this manuscript within the LIGO Scientific Collaboration. R. E. and P. L. are supported by the Natural Sciences and Engineering Research Council of Canada (NSERC). Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities. R. E. also thanks the Canadian Institute for Advanced Research (CIFAR) for support. The work of S. H. was supported by Startup Funds from the T. D. Lee Institute and Shanghai Jiao Tong University. S. H. also acknowledges support from the Network for Neutrinos, Nuclear Astrophysics, and Symmetries (N3AS) during the early stages of this project, funded by the National Science Foundation under cooperative Agreements No. 2020275 and No. 1630782 and by the Heising-Simons Foundation under Award No. 00F1C7. I. L. and K. C. acknowledge support from the Department of Energy under Award No. DE-SC0023101 and the Sloan Foundation. The authors gratefully acknowledge the program "Neutron Rich Matter on Heaven and Earth" (INT-22-2a) held at the Institute for Nuclear Theory, University of Washington for useful discussion. They also thank the LIGO laboratory for providing computational resources supported by National Science Foundation Grants No. PHY-0757058 and No. PHY-0823459. This material is based upon work supported by NSF's LIGO Laboratory which is a major facility fully funded by the National Science Foundation.

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Additional details

Identifiers

ISSN
2470-0029

Funding

Natural Sciences and Engineering Research Council
Innovation, Science and Economic Development Canada
Ministry of Colleges and Universities
Canadian Institute for Advanced Research
Tsung-Dao Lee Institute, Shanghai Jiao Tong University
National Science Foundation
PHY-2020275
National Science Foundation
PHY-1630782
National Science Foundation
PHY-0757058
Heising-Simons Foundation
00F1C7
United States Department of Energy
DE-SC0023101
Alfred P. Sloan Foundation
National Science Foundation
PHY-0823459
National Science Foundation
PHY-0823459

Caltech Custom Metadata

Caltech groups
Astronomy Department, TAPIR, Walter Burke Institute for Theoretical Physics, LIGO