Nuclear Physics Experiments from Simultaneous Gravitational Wave and Radio Observations of a Pulsar Glitch Recovery Phase

Astronomy and Astrophysics – Astronomy

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Scientific paper

Nonaxisymmetric, meridional circulation inside a neutron star, excited by a glitch and persisting throughout the post-glitch relaxation phase, emits gravitational radiation. We derive the spin-up flow throughout the neutron star interior using a simple hydrodynamical model and show that the current quadrupole contributes more strongly to the gravitational wave signal than the mass quadrupole evaluated in previous work. Comparing our model to observed pulsar relaxation periods we can infer the viscosity in a neutron star and compare with heavy-ion-collider experiments that suggest viscosity is near the quantum lower limit for an ideal fluid. We calculate the signal-to-noise ratio for a coherent search and conclude that the signal may be detectable by second-generation interferometers like the Laser Interferometer Gravitational-Wave Observatory for compression modulus κ > 20 A MeV, where A is the mean atomic number. We show that in principle the viscosity and compressibility of bulk nuclear matter, as well as the stratification length-scale and inclination angle of the star, can be inferred from a gravitational wave detection. These properties have been measured in terrestrial, heavy-ion-collider experiments but not in the many-body, low-energy regime found in neutron stars.

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