论文标题
在GWTC-2二进制黑洞系统及其祖细胞的质量上
On the mass-function of GWTC-2 binary black hole systems and their progenitors
论文作者
论文摘要
Ligo黑洞二进制（BBH）的分布显示了与Salpeter初始质量函数（IMF）在黑洞形成中通过核心折叠超新星在黑洞形成中一致的中间质量范围，但要保留二进制关联。它们通过平均质量$ $ $有效地参数化，Pearson相关系数$ r = 0.93 \，\ pm \，0.06 $ seccent to Spentart to Menter to to Primary Masses，其平均质量比率$ \ bar {q} \ simeq 0.67 $，$ q = m_2/m_2/m_2/m_1 $，与paucity intermidemipe-mass-mass-mass-mass x-ray BIN biN biN bine bin biN biN bin。 Ligo BBHS的质量功能是由尾巴$μ\ gtrsim的损坏的幂律很好地对准了314m_ \ odot $ {在平均二进制二进制质量$μ= \ left（m_1+m_2 \ m_2 \ right）/2 $}中。它的幂律索引$α_{b，true} = 4.77 \ pm 0.73 $从观察到的质量功能的尾部推断出可以接近不相关的二进制初始质量功能的上限$2α_s= 4.7 $，该级别的初始质量功能是Salpeter Index $α_S= 2.35 $α_S= 2.35 $ the Intiral Mass Fight of Stars of Stars of Stars of Stars of Stars of Stars of Stars of Stars of Stars of Stars of Stars of Stars of Stars的最初。在BBH形成之前，观察到的BBH质量比$ Q $质量转移的质量转移的证据均衡了质量转移。在祖先红移$ z^\ prime $，此外，PowerLaw索引满足了$α_b^\ prime>α_b$中的$λ$ CDM背景宇宙学。绑定的$α_{b，true}^\ prime \ prime \ lyssim2α_s$此处排除了以任意高的红移$ z^\ prime \ gg1 $的早期形成，可以使BBH的扩展调查变得更加精确，更稳定，无法进行LIGO O4-5的ligo o4-5 observations。
The distribution of LIGO black hole binaries (BBH) shows an intermediate-mass range consistent with the Salpeter Initial Mass Function (IMF) in black hole formation by core-collapse supernovae, subject to preserving binary association. They are effectively parameterized by mean mass $μ$ with Pearson correlation coefficient $r = 0.93\,\pm\,0.06$ of secondary to primary masses with mean mass-ratio $\bar{q}\simeq 0.67$, $q=M_2/M_1$, consistent with the paucity of intermediate-mass X-ray binaries. The mass-function of LIGO BBHs is well-approximated by a broken power-law with a tail $μ\gtrsim 31.4M_\odot$ {in the mean binary mass $μ=\left(M_1+M_2\right)/2$}. Its power-law index $α_{B,true}=4.77\pm 0.73$ inferred from the tail of the observed mass-function is found to approach the upper bound $2α_S=4.7$ of the uncorrelated binary initial mass-function, defined by the Salpeter index $α_S=2.35$ of the Initial Mass Function of stars. The observed low scatter in BBH mass ratio $q$ evidences equalizing mass-transfer in binary evolution prior to BBH formation. At the progenitor redshift $z^\prime$, furthermore, the power-law index satisfies $α_B^\prime>α_B$ in a flat $Λ$CDM background cosmology. The bound $α_{B,true}^\prime \lesssim 2α_S$ hereby precludes early formation at arbitrarily high redshift $z^\prime \gg1$, that may be made more precise and robust with extended BBH surveys from upcoming LIGO O4-5 observations.
