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arXiv 2409.04020gr-qc
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致密双星系统中质量转移效应的引力波特征与可探测性

Gravitational wave signatures and detectability of the mass transfer effect in compact binaries

Zi-Han Zhang, Tan Liu, Shenghua Yu, Zong-Kuan Guo

AI总结:

本文研究致密双星(含低质量白矮星)旋进阶段的质量转移效应,推导了引力波频率与波形解析式,证明星载探测器可高精度测量质量转移率及双白矮星各自质量。

摘要:

质量转移过程在致密双星系统的旋进阶段普遍存在。我们的研究聚焦于包含低质量白矮星的系统,特别是中子星-白矮星双星和双白矮星双星,在这些系统中,低频段会发生稳定的质量转移过程。通过分析准圆轨道内存在质量转移时引力波频率的演化,我们推导出了不同频带上频率随时间变化的解析表达式以及致密双星发射的引力波波形。考虑到致密双星在$1\thicksim10$ mHz频段发射的引力波,基于Fisher分析,我们发现,对于信噪比约为$10^3$的星载引力波探测器,质量转移率的测量精度可达$10^{-7} M_\odot/\text{year}$。在波形中引入质量转移效应,为测量双白矮星双星中各白矮星的质量提供了新的可能性。所测白矮星质量的相对误差可低至约$0.01$的量级。

英文摘要:

The mass transfer process is prevalent during the inspiral phase of compact binary systems. Our study focuses on systems comprising low-mass white dwarfs, particularly in neutron star-white dwarf binaries and double white dwarf binaries, where a stable mass transfer process occurs at low frequencies. By analyzing the evolution of gravitational wave frequencies in the presence of mass transfer within quasi-circular orbits, we derive an analytical expression for the time-dependent frequency across different frequency bands and the waveforms emitted by compact binaries. Considering gravitational waves emitted by compact binaries in the $1\thicksim10$ mHz band, based on the Fisher analysis, we find that the mass transfer rate can be measured as accurately as $10^{-7} M_\odot/\text{year}$ by space-based gravitational-wave detectors with a signal-to-noise ratio of the order of $10^3$. Including the mass transfer effect in the waveforms provides a new possibility to measure the individual masses of double white dwarf binaries. The relative error of measured white dwarf masses can be down to the order of $0.01$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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