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arXiv 2001.03986hep-ph
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非线性康普顿散射的非微扰特征

Non-perturbative signatures of non-linear Compton scattering

Uwe Hernandez Acosta, Andreas Otto, Burkhard Kämpfer, Alexander I. Titov

备注：
21 pages, 13 figures
发表信息：
Phys. Rev. D 102, 116016 (2020)
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摘要：

各种基本激光-光子-电子/正电子相互作用的概率在选定的相空间和参数区域中显示典型的非微扰依赖性，例如$\propto {\cal P} \exp\{- a E_{crit} /E\}$，其中${\cal P}$是指前因子，$E_{crit}$表示临界Sauter-Schwinger场强，并且$E$表征（激光）场强。虽然Schwinger过程与$a = a_S \equiv π$和非线性Breit-Wheeler过程在隧道区与$a = a_{n \ell BW} \equiv 4 m / 3 ω'$（与$ω'$的探测光子能量和$m$的电子/正电子质量）是著名的结果，我们指出，这里也非线性康普顿散射表现出类似的行为时，集中在高次谐波。使用适当的截止值$c > 0$，因子$a$变为$a = a_{n \ell C} \equiv \frac23 c m /(p_0 + \sqrt{p_0^2 -m^2)}$。这打开了通向真空沸点的新特征的途径，即使对于低于PDMATHABM 0的场强度$E$，通过采用高电子束能量$p_0$以小因子$a$来平衡大比率$E_{crit} / E$以实现$E / a \to E_{crit}$。在弱场制度，截止有利于阈值导致多光子签名显示在总截面在亚阈值能量。

英文摘要：

The probabilities of various elementary laser - photon - electron/positron interactions display in selected phase space and parameter regions typical non-perturbative dependencies such as $\propto {\cal P} \exp\{- a E_{crit} /E\}$, where ${\cal P}$ is a pre-exponential factor, $E_{crit}$ denotes the critical Sauter-Schwinger field strength, and $E$ characterizes the (laser) field strength. While the Schwinger process with $a = a_S \equiv π$ and the non-linear Breit-Wheeler process in the tunneling regime with $a = a_{n \ell BW} \equiv 4 m / 3 ω'$ (with $ω'$ the probe photon energy and $m$ the electron/positron mass) are famous results, we point out here that also the non-linear Compton scattering exhibits a similar behavior when focusing on high harmonics. Using a suitable cut-off $c > 0$, the factor $a$ becomes $a = a_{n \ell C} \equiv \frac23 c m /(p_0 + \sqrt{p_0^2 -m^2)}$. This opens the avenue towards a new signature of the boiling point of the vacuum even for field strengths $E$ below $E_{crit}$ by employing a high electron beam-energy $p_0$ to counter balance the large ratio $E_{crit} / E$ by a small factor $a$ to achieve $E / a \to E_{crit}$. In the weak-field regime, the cut-off facilitates a threshold leading to multi-photon signatures showing up in the total cross section at sub-threshold energies.

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