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Magnetically quantized continuum distorted waves
D S F Crothers1, D M McSherry, S F C O'Rourke
1School of Mathematics and Physics, Queen's University Belfast, Belfast BT7 1NN, Ireland.
Physical Review Letters
|February 28, 2002
Summary
A new theory for atomic collisions is derived, generalizing continuum distorted waves to magnetic fields. This method analyzes electron ejection in hydrogen ionization, advancing collision physics research.
Area of Science:
- Atomic and Molecular Physics
- Quantum Mechanics
- Theoretical Chemistry
Background:
- Continuum distorted-wave theory is a key method for analyzing atomic and molecular collisions.
- Existing models often lack the ability to incorporate magnetic field effects.
- Accurate theoretical descriptions are crucial for understanding ionization and charge transfer processes.
Purpose of the Study:
- To present a novel derivation of continuum distorted-wave theory.
- To generalize the theory to include magnetically quantized continuum distorted waves.
- To apply this generalized theory to calculate cross sections for atomic ionization.
Main Methods:
- Analytic continuation of hydrogenic-state wave functions from below to above threshold.
- Utilizing parabolic coordinates and quantum numbers, including the magnetic quantum number (m).
- Application to excitation, charge transfer, ionization, and hybrid collision events for light and heavy particles.
Main Results:
- A generalized continuum distorted-wave theory incorporating magnetic quantization is derived.
- The theory is applied to calculate double-differential cross sections for single ionization of hydrogen and hydrogen molecular ions by protons.
- Calculations focused on forward electron ejection at 50 keV and 100 keV collision energies.
Conclusions:
- The new derivation provides a more comprehensive framework for studying atomic collisions in magnetic fields.
- The method is applicable to a wide range of collision processes and particle types.
- This work advances the theoretical understanding of ionization dynamics in atomic and molecular systems.