| Summary: | 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 1012Mpc−1, 108Mpc−1 and 105Mpc−1 by adjusting the model parameters. With the enhanced primordial curvature perturbations, we show the production of PBH DM with peak masses around 10−13M⊙, the Earth's mass and the stellar mass, and the generation of scalar induced gravitational waves (SIGWs) with peak frequencies around mHz, 10−6Hz and nHz, respectively. The PBHs with the mass scale 10−13M⊙ can make up almost all the DM and the associated SIGWs is testable by spaced-based gravitational wave observatory.
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