论文标题
原始黑洞质量功能与质量差距
Primordial Black Hole Mass Function with Mass Gap
论文作者
论文摘要
原始黑洞（PBHS）的主要特征是它们的质量功能，其中某些质量跨度可能会有一些巨大的抑制作用。如果是这种情况，那么这些PBH的不存在将形成质量差距。在本文中，我们研究了质量间隙的PBH质量功能。首先，为了获得具有质量间隙的数据支持的PBH质量函数，用于质量质量PBHS，我们可以微调原始曲率扰动的模型独立功率谱的系数。然后，我们考虑了这种独特的PBH质量函数，并计算了PBH合并的随机重力波背景的能量密度谱。我们发现其第一个峰的位置几乎与质量间隙没有关系，仅由PBH二进制合并的频率的概率分布确定。除了第一个峰外，必须在质量间隙导致的较高频率下伴随一个较小的槽。因此，对这种较小的谷的检测将提供有关通货膨胀和PBH形成的更多信息。
Primordial black holes (PBHs) are mainly characterized by their mass function, in which there may be some huge suppression for certain mass spans. If this is the case, the absence of these PBHs will form mass gaps. In this paper, we investigate the PBH mass function with mass gap. Firstly, to obtain a data-supported PBH mass function with mass gap for subsolar masses PBHs, we fine-tune the coefficients of a model-independent power spectrum of primordial curvature perturbations. Then we take this unique PBH mass function into consideration and calculate the energy density spectrum of the stochastic gravitational wave background from PBH mergers. We find the location of its first peak almost has no relationship with the mass gap and is only determined by the probability distribution of frequencies at which PBH binaries merge. Apart from the first peak, there must be an accompanying smaller trough at higher frequency resulting from the mass gap. Therefore, the detection of this smaller trough will provide more information about inflation and PBH formation.
