非相对论四极轫致辐射的Gaunt因子
Accurate Gaunt factors for non-relativistic quadrupole bremsstrahlung
摘要：
库仑场中非相对论性四极轫致辐射的精确结果直到最近才在Pradler & Semmelrock（2020）中建立。它需要在广泛的参数和参数范围内对超几何函数进行评估和积分，这在实践中是不可行的。在这里，我们提供了一个高度准确的表格的冈特因子的四极辐射，其热平均麦克斯韦等离子体，以及相关的冷却功能在整个运动学相关的范围。此外，我们提供了一个简单的近似公式的发射截面工程在百分之几的精度为所有的实际目的。结果可应用于电子与自身的散射，其中四极辐射是主导过程。
英文摘要：
The exact result for non-relativistic quadrupole bremsstrahlung in a Coulomb field was established only recently in Pradler & Semmelrock (2020). It requires the evaluation and integration of hypergeometric functions across a wide range of parameters and arguments, which, in practice, is unfeasible. Here we provide a highly accurate tabulation of the Gaunt factor for quadrupole radiation, its thermal average in a Maxwellian plasma, and the associated cooling function over the entire kinematically relevant range. In addition, we provide a simple approximate formula for the emission cross section which works to within a few percent accuracy for all practical purposes. The results can be applied to the scattering of electrons with themselves, for which quadrupole radiation is the dominant process.
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