Correlating Gravitational Wave Signatures with High-Energy Neutrino Events to Unveil the Physics of Neutron Star Mergers

The dawn of multi-messenger astronomy, heralded by the coincident detection of gravitational waves (GWs) and electromagnetic radiation from the binary neutron star merger GW170817, has opened a new window into the most extreme environments in the universe. This event confirmed that neutron star mergers are a site of heavy element production through the r-process and are the progenitors of at least some short gamma-ray bursts (sGRBs). However, to fully unravel the complex physics at play during these cataclysmic events, a third messenger is crucial: high-energy neutrinos. The detection of high-energy neutrinos in coincidence with GWs from a neutron star merger would provide a direct probe of the relativistic jets and outflows produced in the aftermath of the collision, offering unparalleled insights into the particle acceleration mechanisms and the composition of the ejected material. This article explores the synergies between GW and high-energy neutrino observations and how their correlation can be used to unveil the physics of neutron star mergers.
The Physics of Neutron Star Mergers as Revealed by Gravitational Waves
Gravitational wave observations of neutron star mergers provide a wealth of information about the properties of the merging stars and the dynamics of the collision. The inspiral phase of the GW signal, the long "chirp" as the neutron stars spiral towards each other, allows for precise measurements of the masses and spins of the individual stars. The tidal deformability of the neutron stars—a measure of how easily they are deformed by the gravitational field of their companion—can also be extracted from the late inspiral. This parameter is directly related to the neutron star equation of state (EoS), the relationship between the pressure and density of the ultra-dense matter in the neutron star core. Constraining the EoS is a major goal of nuclear astrophysics, and GW observations provide a powerful tool to do so. The merger and post-merger phases of the GW signal are even richer in information, but also more difficult to model and interpret. The post-merger signal, in particular, is expected to encode information about the nature of the remnant, which could be a more massive, differentially rotating neutron star, a hypermassive neutron star that is supported against collapse by its rapid rotation, or a black hole.

High-Energy Neutrino Production in Neutron Star Mergers
Neutron star mergers are expected to be powerful sources of high-energy neutrinos. Several production mechanisms have been proposed. One of the most promising is the acceleration of cosmic rays in the relativistic jet launched from the central remnant. These protons and other nuclei can interact with photons and other particles in the jet and the surrounding rich environment, producing a burst of high-energy neutrinos. Another potential source of neutrinos is the accretion disk that forms around the central remnant. The disk is extremely hot and dense, and nuclear reactions within it can produce a flux of neutrinos. Finally, the kilonova, the radioactive decay-powered transient that follows a neutron star merger, can also be a source of neutrinos, particularly if a long-lived neutron star remnant is present. Detecting these neutrinos is a major challenge for current and future neutrino observatories like IceCube and KM3NeT. The expected neutrino flux is low, and the signal can be spread out over a wide range of energies and timescales.

Correlating Gravitational Waves and High-Energy Neutrinos: A New Era of Multi-Messenger Astronomy
The simultaneous detection of GWs and high-energy neutrinos from a neutron star merger would be a landmark discovery in astrophysics. The GW signal would provide a precise time and location for the merger, allowing neutrino observatories to search for a coincident signal with much greater sensitivity. The properties of the GW signal, such as the masses and spins of the neutron stars and the tidal deformability, could be correlated with the properties of the neutrino signal, such as its energy spectrum and time evolution. This would allow us to test our models of jet formation, particle acceleration, and neutrino production in unprecedented detail. For example, the delay between the GW signal and the neutrino signal could tell us about the time it takes to launch the jet and for the particles to be accelerated to high energies. The energy spectrum of the neutrinos could be used to probe the composition of the jet and the strength of the magnetic fields. The correlation of GWs and neutrinos would also allow us to probe the neutron star EoS in a new way. The post-merger GW signal is sensitive to the EoS, and the neutrino signal is sensitive to the properties of the remnant, which are also determined by the EoS. By combining these two messengers, we can break some of the degeneracies that are present when we analyze each messenger separately.

Future Prospects and Open Questions
The future of multi-messenger astronomy with GWs and neutrinos is bright. The next generation of GW detectors, such as the Einstein Telescope and Cosmic Explorer, will be able to detect neutron star mergers out to much greater distances, increasing the number of events that can be studied by a factor of 100 or more. At the same time, upgrades to existing neutrino observatories and the construction of new ones will improve our sensitivity to neutrinos from these events. One of the key open questions is the exact mechanism of neutrino production in neutron star mergers. The different models make different predictions for the properties of the neutrino signal, and future observations will be able to distinguish between them. Another open question is the nature of the central engine that powers the sGRBs that are associated with some mergers. The correlation of GWs and neutrinos can help us to understand whether the engine is a black hole or a magnetar. Finally, the combination of GWs, neutrinos, and electromagnetic observations will allow us to create a complete picture of neutron star mergers, from the properties of the merging stars to the dynamics of the merger and the evolution of the remnant and its environment.
Conclusion
The ongoing development of multi-messenger astronomy—bringing together gravitational waves, high-energy neutrinos, and electromagnetic signals—promises to revolutionize our understanding of neutron star mergers. By combining signals from widely different physical processes and observatories, we gain an unprecedented, holistic view of the most extreme events in the cosmos. The successful correlation of gravitational wave and neutrino signatures will not only constrain dense matter physics and astrophysical jet composition, but may also unlock new questions and answers in high-energy astrophysics for years to come.
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