AI 中文总结
研究广义指数平台势暴胀模型中振荡子的形成与引力波产生，利用弗洛凯分析和poltergeist机制计算引力波谱，发现其信号处于吉赫兹频段，可约束模型参数空间。
AI 中文摘要
我们研究广义指数平台势暴胀模型中振荡子的形成及引力波产生过程。通过弗洛凯分析，我们确定了与振荡子形成一致的参数不稳定性带，并数值求解振荡子轮廓，得到准呼吸子解，其寿命满足$\tau_{\rm osc} \times m_{\rm eff} \backsimeq 10^3 \text{至} 6\times10^4$。应用poltergeist机制，我们计算诱导引力波谱，发现在基准参数$\beta_{\rm pot} = 5\times10^{-6}$时，引力波谱峰值频率$f_{\rm peak} \backsimeq 2.5\times10^{10}\text{Hz}$，对应的能量密度振幅$\bar{\rho}_{\rm GW,0}\bar{h}^2 \backsimeq 10^{-9}\text{至}10^{-8}$，该值远低于大爆炸核合成所禁止的区域；当$\beta_{\rm pot} = 5\times10^{-5}$时，该信号超出大爆炸核合成对所有已考虑振荡子能量占比的约束，限制了模型的参数空间。该信号处于吉赫兹频段，有望被未来的谐振腔实验探测到。
英文摘要
We study oscillon formation and gravitational wave production in a generalized exponential plateau inflationary potential. Using Floquet analysis, we identify parametric instability bands consistent with oscillon formation, and solve numerically for the oscillon profile, finding quasi-breather solutions with lifetimes $τ_{\rm osc} \cdot m_{\rm eff} \sim 10^3$ --- $6\times10^4$. Applying the poltergeist mechanism, we compute the induced gravitational wave spectrum and find a peak at $f_{\rm peak} \approx 2.5\times10^{10}$~Hz with amplitude $Ω_{\rm GW,0}\,h^2 \sim 10^{-9}$--$10^{-8}$ for the benchmark parameter $β_{\rm pot} = 5\times10^{-6}$. This is far below the region forbidden by big bang nucleosynthesis. For $β_{\rm pot} = 5\times10^{-5}$ the signal exceeds the big bang nucleosynthesis bound for all considered oscillon energy fractions, constraining the parameter space of the model. The signal falls in the GHz regime, potentially accessible to future resonant cavity experiments.
