Abstract
A fully quantal calculation of the three-body wave function is performed for the Wannier model of electron-hydrogen scattering in the near-ionization threshold region using an exterior complex scaling method. The region of configuration space of the wave function that provides the dominant contribution to the total ionization cross section is demonstrated to be in accord with the argument of Rau [Phys. Rev. A 4, 207 (1971)], but only in the so-called Coulomb zone. The work confirms to a high precision the Wannier threshold law for the total ionization cross section, which is strictly valid only at the threshold. A threshold law for the total ionization cross section is determined to be in agreement with the semiclassical calculations of Peterkop [J. Phys. B 16, L587 (1983)].
- Received 19 November 2002
DOI:https://doi.org/10.1103/PhysRevA.68.030701
©2003 American Physical Society