激光场中的软光子近似：应用
Soft photon approximation in a laser field: applications
- Budker Institute of Nuclear Physics, SB RAS（布德刻尔核物理研究所）
- Novosibirsk State University（新西伯利亚国立大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究将软光子近似应用于强激光场中的QED过程，给出发射因子新表达式，用于单、双和N光子康普顿散射，在单康普顿散射中精度达\(\mathcal{O}(\omega/\varepsilon)\)，推导双康普顿散射微分概率表达式，给出N光子发射振幅表达式并进行数值实现。
AI中文摘要：
我们将软光子近似应用于强平面波激光场中的量子电动力学（QED）过程。给出了发射因子的新的紧凑表达式，简化了向多软光子发射的推广。该方法应用于非线性单、双和N光子康普顿散射。对于单康普顿散射，软光子近似能以\(\mathcal{O}(\omega/\varepsilon)\)精度再现精确光谱，优于经典辐射理论。对于双康普顿散射，推导了两种运动学情况下的微分概率解析表达式。还给出了软光子近似下N光子发射振幅的紧凑解析表达式，并在Wolfram Mathematica中对单双康普顿散射进行了数值实现。
英文摘要：
We apply the soft photon approximation to QED processes in a strong plane-wave laser field. New compact expressions for the emission factors are presented, which simplify the generalization to multiple soft photon emission. The method is applied to nonlinear single, double, and $N$-photon Compton scattering. For single Compton scattering, we show that the soft photon approximation reproduces the exact spectrum with accuracy $\mathcal{O}(ω/\varepsilon)$, significantly outperforming the classical radiation theory. For double Compton scattering, we derive analytical expressions for the differential probability in two kinematic regimes: when both photons are soft, and when one photon is soft while the other has arbitrary energy. We present a compact analytical expression for the amplitude of $N$-photon emission within the soft photon approximation. A numerical implementation in Wolfram Mathematica for single and double Compton scattering is provided.
