标题： 利用未来的月球地震仪限制随机引力波背景 显示英文标题

标题： Constraining the stochastic gravitational wave background using the future lunar seismometers

摘要： 受利用月球作为共振引力波（GW）探测器的古老思想以及建模月球对引力波响应的最新进展的启发，我们重新评估了使用月震仪网络限制随机引力波背景（SGWB）的可行性。特别是，利用更新后的月球响应模型，我们推导了引力波两个极化模式的模式函数。借助这些模式函数，我们进一步计算了月震仪网络的重叠归一化函数，在这里我们放宽了传统的假设，即月震仪完全水平放置以测量仅垂直加速度。我们将我们的计算应用于两个未来的月球项目，即“嫦娥”和月球引力波天线（LGWA）。我们发现这两个项目可以分别将SGWB限制到$\Omega_{\text{GW}}^{\text{Chang'e}} < 2.4 \times 10^{2}$和$\Omega_{\text{GW}}^{\text{LGWA}} < 2.0 \times 10^{-10}$的水平，这对应于信噪比SNR为$=3$。这些结果优于各种实验先前在中频带（约$10^{-3}- 10~\text{Hz}$）对SGWB的限制。 显示英文摘要

摘要： Motivated by the old idea of using the moon as a resonant gravitational-wave (GW) detector, as well as the recent updates in modeling the lunar response to GWs, we re-evaluate the feasibility of using a network of lunar seismometers to constrain the stochastic GW background (SGWB). In particular, using the updated model of the lunar response, we derive the pattern functions for the two polarizations of GW. With these pattern functions, we further calculate the overlap reduction functions for a network of lunar seismometers, where we have relaxed the conventional assumption that lunar seismometers are perfectly leveled to measure only the vertical acceleration. We apply our calculation to two future lunar projects, namely, Chang'e and the Lunar Gravitational-Wave Antenna (LGWA). We find that the two projects could constrain the SGWB to a level of $\Omega_{\text{GW}}^{\text{Chang'e}} < 2.4 \times 10^{2}$ and $\Omega_{\text{GW}}^{\text{LGWA}} < 2.0 \times 10^{-10}$, respectively, which corresponds to a signal-to-noise ratio of SNR $=3$. These results are better than the constraints placed previously on the SGWB in the mid-frequency band (around $10^{-3}- 10~\text{Hz}$) by various types of experiments.