### Abstract

The continuum distorted-wave eikonal initial-state (CDW-EIS) theory of Crothers and McCann (J Phys B 1983, 16, 3229) used to describe ionization in ion-atom collisions is generalized (G) to GCDW-EIS to incorporate the azimuthal angle dependence of each CDW in the final-state wave function. This is accomplished by the analytic continuation of hydrogenic-like wave functions from below to above threshold, using parabolic coordinates and quantum numbers including magnetic quantum numbers, thus providing a more complete set of states. At impact energies lower than 25 keVu(-1), the total ionization cross-section falls off, with decreasing energy, too quickly in comparison with experimental data. The idea behind and motivation for the GCDW-EIS model is to improve the theory with respect to experiment by including contributions from nonzero magnetic quantum numbers. We also therefore incidentally provide a new derivation of the theory of continuum distorted waves for zero magnetic quantum numbers while simultaneously generalizing it. (C) 2004 Wiley Periodicals, Inc.

Original language | English |
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Pages (from-to) | 569-576 |

Number of pages | 8 |

Journal | International Journal of Quantum Chemistry |

Volume | 99 |

Issue number | 5 SPEC. ISS. |

Publication status | Published - 15 Sep 2004 |

### ASJC Scopus subject areas

- Physical and Theoretical Chemistry

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## Cite this

O'Rourke, S., McSherry, D. M., & Crothers, D. (2004). Magnetically quantized continuum distorted-wave theory in atomic and molecular collisions.

*International Journal of Quantum Chemistry*,*99*(5 SPEC. ISS.), 569-576.