We investigate a new mechanism to create large curvature perturbations on small scales due to parameter resonance in a single-field inflationary model with a small periodic structure upon the potential. After reentering the horizon, the amplified curvature perturbations can lead to observable primordial black holes as well as stochastic gravitational waves. The mass of primordial black holes and frequency of the induced gravitational waves depend on the model parameters. The resulted primordial black hole could constitute all dark matter or a fraction of dark matter in the universe, and corresponding stochastic gravitational waves fall in the frequency band measurable for the pulsar timing array and the space-based gravitational wave detectors.

中文翻译：

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来自曲率扰动参数放大的原始黑洞和引力波

我们研究了一种新机制，由于在具有小周期结构的单场膨胀模型中的参数共振，在小尺度上产生大的曲率扰动。重新进入视界后，放大的曲率扰动会导致可观察到的原始黑洞以及随机引力波。原始黑洞的质量和诱导引力波的频率取决于模型参数。由此产生的原始黑洞可以构成宇宙中所有暗物质或一部分暗物质，相应的随机引力波落在脉冲星定时阵列和天基引力波探测器可测量的频带内。