The production of primordial black hole (PBH) dark matter (DM) and the generation of scalar induced secondary gravitational waves by using the enhancement mechanism with a peak function in the non-canonical kinetic term in natural inflation is discussed. We show explicitly that the power spectrum for the primordial curvature perturbation can be enhanced at ${10}^{12}{\text{Mpc}}^{-1}$, ${10}^8{\text{Mpc}}^{-1}$ and ${10}^5{\text{Mpc}}^{-1}$ by adjusting the model parameters. With the enhanced primordial curvature perturbations, we show the production of PBH DM with peak masses around ${10}^{-13}{M}_{\odot }$, the Earth's mass and the stellar mass, and the generation of scalar induced gravitational waves (SIGWs) with peak frequencies around mHz, ${10}^{-6}\text{Hz}$ and nHz, respectively. The PBHs with the mass scale ${10}^{-13}{M}_{\odot }$ can make up almost all the DM and the associated SIGWs is testable by spaced-based gravitational wave observatory.

讨论了原始黑洞 (PBH) 暗物质 (DM) 的产生和通过在自然膨胀中的非正则动力学项中使用具有峰值函数的增强机制产生的标量诱导的二次引力波。我们明确地表明，原始曲率扰动的功率谱可以在${10}^{12}{\text{多氯联苯}}^{-1}$, ${10}^8{\text{多氯联苯}}^{-1}$ 和 ${10}^5{\text{多氯联苯}}^{-1}$通过调整模型参数。通过增强的原始曲率扰动，我们展示了 PBH DM 的产生，峰值质量约为${10}^{-13}{米}_{\odot }$，地球质量和恒星质量，以及峰值频率在 mHz 左右的标量诱导引力波 (SIGW) 的产生， ${10}^{-6}\text{赫兹}$和 nHz，分别。具有质量标度的 PBH${10}^{-13}{米}_{\odot }$ 可以组成几乎所有的 DM，相关的 SIGW 可以通过空间引力波天文台进行测试。