论文标题
检测丽莎频带中的偏心二进制
Detecting Accelerating Eccentric Binaries in the LISA Band
论文作者
论文摘要
Lisa带中的许多引力波（GW）源预计将具有不可忽略的偏心率。此外，它们中的许多人可以加速，因为它们居住在第三纪。在这里，我们开发了分析和数值方法，以量化紧凑型二元的偏心率如何增强其特殊加速度的检测。我们表明，一般相对论的进动模式可以使二进制加速诱导的频移从GW模板拟合中的频率转移中脱离频率转移，从而放宽了信噪比的要求，以将加速度区分加速度以$ 10 \ sim100 $。此外，通过采用加速偏心紧凑型二进制的GW模板，我们可以将加速度测量精度提高到$ \ sim100 $的一倍，即使在观察时间内没有变化，也可以检测源的加速度。例如，Lisa频段中具有中度偏心率的恒星质量二进制黑洞（BBH）产生加速度测量的错误$ \ sim10^{ - 7} M \ cdot s^{ - 2} $ for $ \ rm {snr} = 20 $ and $ 4 $ yrs的$ \ rm {snr} = 20 $。在此示例中，即使它是$ \ sim1 \ rm pc $，我们也可以测量bbhs的特殊加速度，而$ 4 \ times 10^{6} {6} \ rm m _ {\ odot} $ smbh。我们的结果强调了偏心率对丽莎波段来源的重要性，并表明了开发GW模板以加速偏心紧凑型二进制文件的必要性。
Many gravitational wave (GW) sources in the LISA band are expected to have non-negligible eccentricity. Furthermore, many of them can undergo acceleration because they reside in the presence of a tertiary. Here we develop analytical and numerical methods to quantify how the compact binary's eccentricity enhances the detection of its peculiar acceleration. We show that the general relativistic precession pattern can disentangle the binary's acceleration-induced frequency shift from the chirp-mass-induced frequency shift in GW template fitting, thus relaxing the signal-to-noise ratio requirement for distinguishing the acceleration by a factor of $10\sim100$. Moreover, by adopting the GW templates of the accelerating eccentric compact binaries, we can enhance the acceleration measurement accuracy by a factor of $\sim100$, compared to the zero-eccentricity case, and detect the source's acceleration even if it does not change during the observational time. For example, a stellar-mass binary black hole (BBH) with moderate eccentricity in the LISA band yields an error of the acceleration measurement $\sim10^{-7}m\cdot s^{-2}$ for $\rm{SNR}=20$ and observational time of $4$ yrs. In this example, we can measure the BBHs' peculiar acceleration even when it is $\sim1\rm pc$ away from a $4\times 10^{6}\rm M_{\odot}$ SMBH. Our results highlight the importance of eccentricity to the LISA-band sources and show the necessity of developing GW templates for accelerating eccentric compact binaries.
