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The slope, the hill, the drop, and the swoosh: Learning about the nuclear matter equation of state from the binary Love relations

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arxiv 2111.10260 v1 pith:QHGAGMZ7 submitted 2021-11-17 astro-ph.HE gr-qcnucl-th

classification astro-ph.HEgr-qcnucl-th
keywords relationsbinarynuclearlovematterstarsdrophill
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Analyses that connect astrophysical observations of neutron stars with nuclear matter properties sometimes rely on equation-of-state insensitive relations. We show that the slope of the binary Love relations (i.e.~between the tidal deformabilities of binary neutron stars) encodes the rate of change of the nuclear matter speed of sound below three times nuclear saturation density. Twin stars lead to relations that present a signature ''hill'', ''drop'', and ''swoosh'' due to the second (mass-radius) stable branch, requiring a new description of the binary love relations.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Density dependent speed of sound and its consequences in neutron stars

    nucl-th 2025-07 conditional novelty 6.0 of 10

    A three-parameter speed-of-sound model reproduces relativistic mean-field neutron-star equations of state and produces curvature and trace-anomaly sign changes without any phase transition.

  2. Can average speed of sound and thermodynamic response functions signal the exotic phases in neutron star cores?

    nucl-th 2026-07 conditional novelty 5.0 of 10

    Average speed of sound, its logarithmic derivative, and thermodynamic response functions distinguish sharp-interface versus mixed-phase hadron-quark transitions inside hybrid neutron stars.

  3. TTE-CAM: Self-Explainable Class Activation Maps for Pretrained Black-Box CNNs

    cs.CV 2026-03 unverdicted novelty 5.0 of 10

    A test-time convolution-head replacement converts pretrained CNNs into self-explainable models that keep black-box accuracy and produce faithful class activation maps.

  4. Quantifying the Information Gain from Future High-Precision Radius Measurements for Identifying Twin Neutron Stars

    astro-ph.HE 2026-07 reject novelty 4.0 of 10

    The paper claims a radius precision of ~0.2 km is enough to extract most Bayesian information for identifying twin neutron stars, but its own distinguishability and entropy analyses suggest notable gains remain down t...

  5. An Overview of the MUSES Calculation Engine and How It Can Be Used to Describe Neutron Stars

    nucl-th 2025-05 conditional novelty 4.0 of 10

    Matching the crust and core equations of state with different smooth interpolation functions has only a modest effect on the predicted mass, radius, and tidal deformability of neutron stars, provided the matching occu...

  6. The equation of state for neutron stars

    nucl-th 2026-07 unverdicted

    A textbook-style review of the neutron-star equation of state covering the models, experimental and observational constraints, and open questions, with no new result claimed or derived.

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