AI 中文总结
研究利用快速射电暴微引力透镜效应，推导了将单色质量分布‘裸’PBHs丰度上限转换为任意扩展质量分布‘包裹’PBHs相应限制的变换，估计了未来十年FRB观测对‘包裹’PBH丰度的限制，发现包含晕增强可收紧限制。
AI 中文摘要
原初黑洞（PBHs）不仅被视为暗物质候选者，还被看作引力波源及超大质量黑洞种子，备受关注。快速射电暴（FRBs）物理起源不明，其微引力透镜效应能探测PBHs。本文推导了将单色质量分布‘裸’PBHs丰度上限转换为任意扩展质量分布‘包裹’PBHs相应限制的完整变换。基于此框架，假设未来十年积累\(10^5\)个FRBs样本，估计了FRB观测对‘包裹’PBH丰度\(f_{\mathrm{PBH}}\)的未来限制。结果表明，包含晕增强使\(f_{\mathrm{PBH}}\)上限收紧约一个数量级，典型质量范围最严格限制达\(\sim10^{-4}\)。
英文摘要
Primordial black holes (PBHs) are not only considered as a candidate for dark matter, but also as potential sources of gravitational waves from binary black hole mergers by the LIGO-Virgo-KAGRA and as seeds for the supermassive black holes observed by the James-Webb Space Telescope, thereby remaining intense interest in cosmology and astrophysics. Fast radio bursts (FRBs) are bright millisecond-duration radio transients whose physical origin remains elusive, which have rapidly developed into one of the most active and rapidly evolving fields in astronomy. The microlensing effect of FRBs offers a clean and powerful probe of PBHs, especially in the mass range above stellar-mass window. In this work, we derive a complete transformation that converts any upper limit on the abundance of PBHs originally derived for `bare' PBHs with monochromatic mass distribution, into the corresponding constraint on `dressed' PBHs with arbitrary extended mass distributions. Based on this framework, we estimate the future constraints on the dressed PBH abundance \(f_{\mathrm{PBH}}\) from FRB observations assuming an expected sample of \(10^5\) FRBs accumulated over the next decade well within the projected detection capabilities of SKA. Our results indicate that including halo enhancement tightens the upper limits on \(f_{\mathrm{PBH}}\) by approximately one order of magnitude, with the most stringent constraint reaching \(\sim10^{-4}\) for the typical mass range from stellar-mass to intermediate-mass black holes.
Comments12 pages, 4 figures
