Realistic equations of state informing neutron star post-merger gravitational-wave frequencies
真实物态方程对中子星并合后引力波频率的制约
Binary neutron star mergers are thought to produce hot, rapidly rotating neutron stars with masses that can far exceed their Tolman─Oppenheimer─Volkoff mass. The gravitational-wave emission from such remnants provides a unique opportunity to measure the nuclear equation of state at densities and temperatures not available to terrestrial experiments. Current detector design is informed by gravitational-wave signals from general relativistic hydrodynamics simulations of neutron star mergers, typically with hybrid thermal treatments for the equation of state, where a cold equation of state is modified by adding a thermal component. We use realistic equations of state based on the relativistic mean field model with consistent treatment of thermal effects to compute the distribution of expected peak gravitational-wave frequencies. Marginalizing over equation of state and progenitor neutron star masses, we show the peak frequency of emission ranges from <inline-formula><tex-math>${\sim} 2.5$</tex-math></inline-formula> to 4 kHz. The width of this distribution suggests the need for broad-band observatories with kHz sensitivity, and calls into question some of the so-called post-merger optimized configurations. We show the proposed KAGRA high-frequency design is well-suited to measuring post-merger remnants when compared to the KAGRA broad-band design.
展开 ▾首次基于相对论平均场模型构建大量一致热物态方程,系统评估温度对并合后f模频率的影响,并直接定量比较探测器优化配置,为高频引力波观测方案提供明确指导。
过去对并合后引力波频率的预测多依赖‘混合热’状态方程(如Oechslin+ 2007、Sekiguchi+ 2011、Bauswein+ 2013),热效应以简单理想气体近似引入。近期,Barman+ 2025在相对论平均场模型框架下建立了自洽的有限温度状态方程,为本研究奠定了方法基础。本文在此基础上,利用多信使观测和微观理论约束生成大量冷、暖、热状态方程,结合Doneva+ 2013的准广义频率关系,显示峰值频率随温度升高而降低,分布中值约3.0–3.6 kHz。通过注入模拟信号比较探测器配置,指出KAGRA高频3 kHz优化设计可较宽带配置提升约2.5倍信噪比。未来需纳入差分旋转、非核子自由度以及全广义相对论效应,以更精确预测并合后信号并优化探测策略。
预印本 2026-02-27 · 刊出 2026-06-24 · 收录 2026-07-22