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    Dynamical tidal response of neutron stars as a probe of dense-matter properties

    Abhishek Hegade K. R.1,2,*, Yumu Yang2,†, Mauricio Hippert3, Jacquelyn Noronha-Hostler2, Jorge Noronha2, and Nicolás Yunes2

    • *Contact author: ah4278@princeton.edu
    • †Contact author: yumuy2@illinois.edu

    Phys. Rev. D 114, 044014 – Published 6 August, 2026

    DOI: https://doi.org/10.1103/92sp-krfc

    Abstract

    Dynamical tidal deformations play a crucial role in the gravitational waves emitted by binary neutron-star systems during their late inspiral. In this work, we systematically explore how relativistic (dynamical and dissipative) tidal deformations depend on the internal structure of a neutron star using two analytic classes of equations of state. The first class is a nucleonic model that is parametrized by nuclear-physics observables, such as the symmetry energy coefficients and saturation properties. The second class is a toy model of quark matter, the MIT bag model. To model tidal dissipation, we self-consistently include contributions from weak-interaction-driven bulk-viscous effects while considering both the nucleonic and the quark-matter equations of state. The dissipative tide is sensitive to frequency and temperature, but its magnitude, as predicted by weak-interaction-driven bulk-viscous effects, is too small (within the equation-of-state models studied here) to be detectable by current or future observations. However, we find that the (conservative) dynamical tidal response function depends strongly on the slope of the symmetry energy and on higher-order coefficients of the symmetry energy. This indicates that the (conservative) dynamical tide is sensitive to higher-order coefficients, motivating a dedicated parameter-estimation study to assess how well they can be constrained.

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