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arXiv 2304.01341astro-ph.HEastro-ph.GA
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利用爱因斯坦望远镜重建致密双星族群的恒星形成率

Reconstructing the star formation rate for compact binary populations with the Einstein telescope

Neha Singh, Tomasz Bulik, Krzysztof Belczynski, Marek Cieslar, Francesca Calore

AI总结:

本文提出一种不依赖族群模型的方法,利用爱因斯坦望远镜重建星族I+II和星族III致密双星族群的恒星形成率密度,并约束星族III恒星形成的终止红移,证明ET可区分至少Δz~2的终止红移差异。

摘要:

爱因斯坦望远镜(ET)是拟议中的第三代宽频带引力波(GW)探测器。与第二代探测器相比,其探测灵敏度得到提升,因此将能够利用引力波探索红移极高的宇宙。本文提出一种不依赖于具体族群模型的方法,以ET作为单一仪器,推断源自星族(Pop)I+II和星族III恒星的不同致密双星族群的恒星形成率密度(SFR)的函数形式。我们使用一种算法来回答关于不同致密双星族群SFR的三个主要问题。具体而言,这些问题涉及星族III恒星形成的终止红移、SFR峰值处的红移以及高红移处SFR的函数形式,所有这些目前仍待阐明。我们表明,在红移高达z~14的范围内,不同致密双星族群的SFR随红移变化的重建结果与时延分布无关,并且重建精度仅在z≳14的更高红移处才强烈依赖于该分布。我们将星族III恒星的终止红移定义为SFR降至其峰值1%时的红移。在本分析中,我们对SFR峰值随红移的变化施加约束,并表明ET作为单一仪器能够区分星族III恒星不同SFR的终止红移,这些终止红移之间的真实间隔至少为Δz~2。终止红移的准确估计依赖于正确建模时延分布的尾部,该尾部对应的时延为≳8 Gyr。

英文摘要:

The Einstein Telescope (ET) is a proposed third-generation, wide-band gravitational wave (GW) detector. Given its improved detection sensitivity in comparison to the second-generation detectors, it will be capable of exploring the Universe with GWs up to very high redshifts. In this paper, we present a population-independent method to infer the functional form of star formation rate density (SFR) for different populations of compact binaries originating in stars from Population (Pop) I+II and Pop III using ET as a single instrument. We use an algorithm to answer three major questions regarding the SFR of different populations of compact binaries. Specifically, these questions refer to the termination redshift of the formation of Pop III stars, the redshift at peak SFR, and the functional form of SFR at high redshift, all of which remain to be elucidated. We show that the reconstruction of SFR as a function of redshift for the different populations of compact binaries is independent of the time-delay distributions up to $z \sim 14,$ and that the accuracy of the reconstruction only strongly depends on this distribution at higher redshifts of $z\gtrsim 14$. We define the termination redshift for Pop III stars as the redshift where the SFR drops to 1\% of its peak value. In this analysis, we constrain the peak of the SFR as a function of redshift and show that ET as a single instrument can distinguish the termination redshifts of different SFRs for Pop III stars, which have a true separation of at least $Δz \sim 2$. The accurate estimation of the termination redshift depends on correctly modelling the tail of the time-delay distribution, which constitutes delay times of $\gtrsim 8$ Gyr.

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