Triple-differential cross sections for electron-impact ionization of helium

Nondipole parameters of TDCS for electron impact ionization and drag current

“…(12) are equal to B 0 = 1 and B 2 = β = 2, respectively; they exactly coincide with Eq. (11). As shown in the Appendix, the dipole parameters of the TDCS in the optical limit and the parameters of the photoionization differential cross-section in Eq.…”

“…Therefore, among the numerous studies of the TDCS (both experimental and theoretical [11][12][13][14][15][16][17][18][19]), an important place is occupied by investigations focusing specifically on studying of the TDCS in the optical limit (see, for example [20] and references therein), when the cross-section for a small amount of transferred momentum q can be represented as a power series in momentum. In the limit → 0 the TDCS is well described by the dipole approximation [21][22][23].…”

Momentum distribution of an electron scattered from a screened potential

“…This means that the high partial waves of G (p) exhibit a plane-wave behaviour [9]. We therefore split the sum over 1 in (8) …”

“…The evaluation of G(p) requires an analytical treatment [8,9] for large r as well as for large 1. For the first case, the r-integral in (8) (10) where the first integral is calculated numerically (simultaneously with the calculation of W1 from (6)) and rm is chosen sufficiently large such that the radial wavefunction W, has attained its asymptotic form [4].…”

Distorted-wave Born Approximation for the Ionisation of Hydrogen by Electrons

“…On the other hand the DWBA has given quite a good description of fully (sometimes called triple) differential experimental cross sections (e.g. Madison et al 1977) and of cross sections with integration over various dimensions of the five-fold kinematic space (e.g. Younger 1980;McCarthy and Zhang 1989).…”