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arXiv 2103.00797astro-ph.HEastro-ph.COgr-qc
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当啁啾质量大于$\sim 20M_{\odot}$时,III双星黑洞的引力波与LIGO/Virgo O3a数据一致

Gravitational waves from Population III binary black holes are consistent with LIGO/Virgo O3a data for the chirp mass larger than $\sim 20M_{\odot}$

Tomoya Kinugawa, Takashi Nakamura, Hiroyuki Nakano

摘要:

LIGO/Virgo O3 a观测到的双黑洞合并的概率数分布函数具有双峰,分别是啁啾质量$M_c$、总质量$M_t$、主黑洞质量$M_1$和次黑洞质量$M_2$的函数.较大的啁啾质量峰位于$M_c \cong 30 M_{\odot}$。$M_2$与$M_1$的分布遵循$M_2\cong 0.7M_1$的关系。对于$f(M) \propto M^{-α}$形式的星族III星初始质量函数,用$0\leq α\leq 1.5$进行的星族合成数值模拟与$M_c \gtrsim 20M_{\odot}$的O3 a数据一致.模拟数据的$M_2$与$M_1$的分布也与O3 a数据的$M_2\cong 0.7M_1$关系一致。

英文摘要:

The probability number distribution function of binary black hole mergers observed by LIGO/Virgo O3a has double peaks as a function of chirp mass $M_c$, total mass $M_t$, primary black hole mass $M_1$ and secondary one $M_2$, respectively. The larger chirp mass peak is at $M_c \cong 30 M_{\odot}$. The distribution of $M_2$ vs. $M_1$ follows the relation of $M_2\cong 0.7M_1$. For initial mass functions of Population III stars in the form of $f(M) \propto M^{-α}$, population synthesis numerical simulations with $0\leq α\leq 1.5$ are consistent with O3a data for $M_c \gtrsim 20M_{\odot}$. The distribution of $M_2$ vs. $M_1$ for simulation data also agrees with $M_2\cong 0.7M_1$ relation of O3a data.

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