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Detectability of Mode Resonances in Coalescing Neutron Star Binaries
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Detectability of Mode Resonances in Coalescing Neutron Star Binaries
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Inspirals of neutron star-neutron star binaries are a promising source of gravitational waves for gravitational wave detectors like LIGO. During the inspiral, the tidal gravitational field of one of the stars can resonantly excite internal modes of the other star, resulting in a phase shift in the gravitational wave signal. We compute using a Fisher-matrix analysis how large the phase shift must be in order to be detectable. For a $1.4 M_\odot, 1.4 M_\odot$ binary the result is $\sim 8.1, 2.9$ and 1.8 radians, for resonant frequencies of $16, 32$ and 64 Hz. The measurement accuracies of the other binary parameters are degraded by inclusion of the mode resonance effect.
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Cited by 1 Pith paper
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Detecting Tidal Resonances in Binary Neutron Stars
Einstein Telescope can detect tidal resonances in binary neutron stars, identifying modes with phase shifts as small as 0.03 radians and showing that neglecting them biases tidal deformability inference.
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