AI 中文总结
该研究针对偏心超大质量黑洞双体系统，利用脉冲星计时阵列的模拟数据开展注入-恢复研究，证实高频率下可测量其组分质量，明确低频下连续引力波与随机引力波背景的相关性，并开发出兼容 GPU 的高效贝叶斯推断软件，为真实数据应用奠定基础。
AI 中文摘要
脉冲星计时阵列（PTA）实验正在纳赫兹波段搜寻引力波（GW）。PTA 所瞄准的主要引力波源包括本地宇宙中处于并合过程的超大质量黑洞双体系统（SMBHBs）群体，其中部分系统可能会发射可探测的连续引力波（CGW）信号。本文聚焦于偏心轨道上的单个双体系统的探测策略，基于 EPTA DR2new 配置生成的模拟数据集，在参数空间范围内开展注入-恢复研究。结果表明，当偏心 SMBHB 在高引力波频率下被探测到时，可对其单个组分质量进行测量；同时还发现，低频下 CGW 信号与随机引力波背景（SGWB）存在相关性，这使得 CGW 的识别颇具挑战性。最后，所开发的软件兼容 GPU，可实现高效的贝叶斯推断，本研究为后续应用于真实 PTA 数据奠定了基础。
英文摘要
Pulsar timing array (PTA) experiments are searching for gravitational waves (GWs) in the nanohertz band. The primary GW sources targeted by PTAs include populations of inspiralling supermassive black hole binaries (SMBHBs) in the local Universe, some of which may emit detectable continuous gravitational-wave (CGW) signals. In this paper, we focus on the detection strategy for individual binaries on eccentric orbits. Using simulated datasets based on the EPTA DR2new configuration, we perform injection-recovery studies across the parameter space. We demonstrate that individual component masses can be measured when an eccentric SMBHB is detected at high GW frequencies. We further show a correlation between the CGW signal and the stochastic gravitational-wave background (SGWB) at low frequencies, which makes CGW identification challenging. Finally, the developed software is GPU-compatible, enabling efficient Bayesian inference. This work lays the groundwork for future applications to real PTA data.
