标题： 原初黑洞双星的有效融合自旋分布 显示英文标题

标题： Effective inspiral spin distribution of primordial black hole binaries

摘要： 我们研究了原初黑洞（PBH）双星的有效旋进自旋、质量比和啁啾质量的概率分布，考虑了引力坍缩的临界现象的影响。 作为一阶估计，每个双星被假定由两个随机选择的PBH组成，这些PBH的选择依据单个PBH的概率分布。 我们发现，尽管临界现象可能导致低质量尾部出现大自旋，但双星的有效旋进自旋在统计上非常小，$\sqrt{\langle\chi_{\mathrm{eff}}^2\rangle}=8.41\times10^{-4}$。 我们还发现有效旋进自旋和质量比之间几乎没有反相关性，这可以从观测中推断出来。 显示英文摘要

摘要： We investigate the probability distribution of the effective inspiral spin, the mass ratio, and the chirp mass of primordial black hole (PBH) binaries, incorporating the effect of the critical phenomena of gravitational collapse. As a leading order estimation, each binary is assumed to be formed from two PBHs that are randomly chosen according to the probability distribution of single PBHs. We find that, although the critical phenomena can lead to large spins on the low-mass tail, the effective inspiral spin of the binary is statistically very small, $\sqrt{\langle\chi_{\mathrm{eff}}^2\rangle}=8.41\times10^{-4}$. We also see that there is almost no anti-correlation between the effective inspiral spin and the mass ratio, which can be inferred from observations.