We examine the small-energy cross section behaviour for the process e + H -~ H * + 2e. The excitation-detachment function appears approximately constant above the classical threshold, with a weak undulatory component superimposed. The energy distribution function for the outgoing electrons is found almost uniform within our classical model.
We have detected an error in Fig. 1. The analytical expression for the detachment function, taken over from [11], ff~E 9/4 exp {-16.4]/E } should read cr~E 9/4 exp { -16.4//E }. The error stems from (28a) in [-11], where apparently due to a missprint, sign "-" in front of the exponent "1/2" is missing, what can be easily inferred from (27a) from the same reference [cf. also (29)]. As a curve drawn according the correct analytical expression appears practically stepfunction-like (going vertically to infinity), at an arbitrarily chosen point on the abscise, it bears no resemblance to our numerical results, calculated for the excitation-ionization intervals.Since, however, detachment function from [-111 was used only for the sake of comparison, in absence of any other data for the excitation-ionization function, it is of no crucial importance to our calculations and final results and should be ignored in Fig. 1 of our paper. The same holds for the corresponding comments in the text.We complete the Reference list here:10.
Wannier's classical theory has been successfully applied to studies of fragmentation functions when the interaction potential was homogeneous. Here, the methods of classical mechanics are applied to cases with a non-homogeneous interaction potential. In this case an analytic solution is not available. However, the numerical solution can be fitted to an analytic expression. A system is discussed that in its final state consists of a highly excited atom, an electron and a positron (A*+e-+e+). The interaction potential consists of the Coulomb term plus monopole to quadrupole and/or polarisation terms.Near threshold, the cross section is fitted to the form U = aE". Results are given for H and He.
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