Abstract
We investigate an inflationary model with a non-minimal derivative coupling, where the coupling function contains both constant and periodic components. On large scales, the model is in excellent agreement with the latest Planck-ACT-LiteBIRD-BICEP/Keck 2018 (P-ACT-LB-BK18) observations. On small scales, the periodic component induces a sound-speed resonance mechanism that significantly amplifies curvature perturbations, resulting in the production of primordial black holes (PBHs). By incorporating nonlinear effects in the PBH abundance calculation, we find that the resulting PBHs can account for the majority of dark matter in the Universe. Furthermore, the PBH formation process generates scalar-induced gravitational waves (SIGWs) with a characteristic multi-peak spectral shape, which may be detectable by future space-based detectors such as LISA, Taiji, and TianQin. The model also predicts a high-frequency stochastic gravitational-wave background (SGWB) from PBH binary mergers. A combined detection of SIGWs and high-frequency gravitational waves (GWs) in future experiments would provide a direct and testable probe of this inflationary scenario.
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Details
1 Hainan Normal University, College of Physics and Electronic Engineering, Haikou, People’s Republic of China (GRID:grid.440732.6) (ISNI:0000 0000 8551 5345)
2 Chengdu Normal University, College of Physics and Engineering Technology, Chengdu, People’s Republic of China (GRID:grid.453300.1) (ISNI:0000 0001 0496 6791); Hunan Normal University, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Changsha, People’s Republic of China (GRID:grid.411427.5) (ISNI:0000 0001 0089 3695)