Primordial black holes and Scalar-Induced Gravitational Waves formed by inflation potential with non-trivial characteristics

The formation of primordial black holes (PBHs) generally requires large density perturbations, which is widely supported by researchers. This paper studies the local coupling properties of the Starobinsky and Kachru-Kallosh-Linde-Trivedi (KKLT) potentials by introducing a linear Lorentzian-type coupling, which locally breaks the slow-roll conditions. We find that both positive and negative couplings can generate a considerable abundance of PBH. Additionally, we study the scalar-induced gravitational waves (SIGWs) generated by this model.