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arXiv 1209.0595gr-qcastro-ph.COastro-ph.HEastro-ph.SR
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地基干涉仪波段致密双星合并产生的引力波背景

On the gravitational wave background from compact binary coalescences in the band of ground-based interferometers

Xing-Jiang Zhu, Eric J. Howell, David G. Blair, Zong-Hong Zhu

摘要:

本文报道了对致密双星合并产生的引力波(GW)背景的综合研究。我们认为在我们的计算中,新的基于观测的中子星和黑洞的质量分布和完整的分析波形,包括后牛顿振幅校正。我们的研究结果表明:(ii)低于100 Hz时,背景主要取决于局部聚结速率$r_0$和平均啁啾质量,而与啁啾质量分布无关;(三)宇宙恒星形成速率和双星形成与合并之间的延迟时间的影响在100赫兹以下是线性的,可以用一个单一的(iv)高达50-100 Hz的能量密度参数$Ω_{GW}(f) ~ f^{2/3}$的简单幂律模型足以用作地基干涉仪的搜索模板。在背景信号的检测前景方面,我们表明:(i)检测(信噪比为3)的高级LIGO探测器(H1-L1)在一年的观测时间内需要中子星的合并速率为$r_0 = 3 (0.2) Mpc^{-3} Myr^{-1}$(二元黑洞);(ii)对于两个共同定位的检测器,对$r_0$的这种限制可以降低3倍,而目前提议的世界范围先进仪器网络在可探测性方面仅提高了约30%;计划中的爱因斯坦望远镜灵敏度提高后,不仅可以可靠地探测背景,而且可以探测待测光谱的高频成分。最后,我们表明,亚阈值的二元中子星合并事件产生了强大的前景,这可能是一个问题,为未来的地面随机搜索的原始GW。

英文摘要:

This paper reports a comprehensive study on the gravitational wave (GW) background from compact binary coalescences. We consider in our calculations newly available observation-based neutron star and black hole mass distributions and complete analytical waveforms that include post-Newtonian amplitude corrections. Our results show that: (i) post-Newtonian effects cause a small reduction in the GW background signal; (ii) below 100 Hz the background depends primarily on the local coalescence rate $r_0$ and the average chirp mass and is independent of the chirp mass distribution; (iii) the effects of cosmic star formation rates and delay times between the formation and merger of binaries are linear below 100 Hz and can be represented by a single parameter within a factor of ~ 2; (iv) a simple power law model of the energy density parameter $Ω_{GW}(f) ~ f^{2/3}$ up to 50-100 Hz is sufficient to be used as a search template for ground-based interferometers. In terms of the detection prospects of the background signal, we show that: (i) detection (a signal-to-noise ratio of 3) within one year of observation by the Advanced LIGO detectors (H1-L1) requires a coalescence rate of $r_0 = 3 (0.2) Mpc^{-3} Myr^{-1}$ for binary neutron stars (binary black holes); (ii) this limit on $r_0$ could be reduced 3-fold for two co-located detectors, whereas the currently proposed worldwide network of advanced instruments gives only ~ 30% improvement in detectability; (iii) the improved sensitivity of the planned Einstein Telescope allows not only confident detection of the background but also the high frequency components of the spectrum to be measured. Finally we show that sub-threshold binary neutron star merger events produce a strong foreground, which could be an issue for future terrestrial stochastic searches of primordial GWs.

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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