... model1
In the literature, it has also been called the standard cascade model (SCM). 
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... thermalized2
The atoms with the kinetic energy much larger than the temperature are called epithermal and the ones with $E\gg 1\;$eV -- 'hot' or 'highly-energetic'. 
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... potential3
The quantization axis is along the electric field, $n=n_1+n_2+\vert m\vert+1$. 
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... estimation4
Note that the transport cross section is finite even without the electron screening. 
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