Optimal Truncation in Ionization of Hydrogen by Electron Impact
ZHANG Cheng-Hua1, NIU Ying-Yu1, WU Wei1, QIU Wei1, XIN Jun-Li1, WANG Xiao-Wei2, WANG Jing-Yang2
1Department of Physics and Laboratory of Atoms and Radiation, Liaoning University, Shenyang 110036
2National Shenyang Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016
Optimal Truncation in Ionization of Hydrogen by Electron Impact
1Department of Physics and Laboratory of Atoms and Radiation, Liaoning University, Shenyang 110036
2National Shenyang Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016
Abstract： An analytic expression for the ionization amplitude of hydrogen by electron impact is found to contain a polynomial by an optimal truncation in an asymptotic series and a convergent series. The ionization amplitude, i.e., transition matrix element on the energy shell, is decomposed into two parts: the structure-scattering factor and correlation factor, based on an approximation of projectile plane wave in coplanar asymmetric geometries. The contribution of these factors to the triple differential cross section is evaluated using the method of optional truncation of asymptotic and convergent series.
ZHANG Cheng-Hua;NIU Ying-Yu;WU Wei;QIU Wei;XIN Jun-Li;WANG Xiao-Wei;WANG Jing-Yang. Optimal Truncation in Ionization of Hydrogen by Electron Impact[J]. 中国物理快报, 2003, 20(8): 1244-1246.
ZHANG Cheng-Hua, NIU Ying-Yu, WU Wei, QIU Wei, XIN Jun-Li, WANG Xiao-Wei, WANG Jing-Yang. Optimal Truncation in Ionization of Hydrogen by Electron Impact. Chin. Phys. Lett., 2003, 20(8): 1244-1246.
2003, Vol. 20 
