Chaotic inflation is inconsistent with the observational constraint at 68% CL. Here, we show that the enhancement mechanism with a peak function in the noncanonical kinetic term not only helps the chaotic model V(ϕ) = V₀ϕ^1/3 satisfy the observational constraint at large scales but also enhances the primordial scalar power spectrum by seven orders of magnitude at small scales. The enhanced curvature perturbations can produce primordial black holes of different masses and secondary gravitational waves with different peak frequencies. We also show that the non-Gaussianities of curvature perturbations have little effect on the abundance of primordial black holes and energy density of the scalar-induced secondary gravitational waves.

混沌膨胀与 68% CL 的观察约束不一致。在这里，我们展示了在非常规动力学项中具有峰值函数的增强机制不仅有助于混沌模型V ( ϕ ) = V ₀ ϕ ^1/3满足大尺度的观测约束，但也在小尺度上将原始标量功率谱提高了七个数量级。增强的曲率扰动可以产生不同质量的原始黑洞和具有不同峰值频率的二次引力波。我们还表明，曲率扰动的非高斯性对原始黑洞的丰度和标量诱导的二次引力波的能量密度几乎没有影响。