Analysis of perturbation methods for rearrangement collisions: Comparison of distorted-wave and coupled-channel-wave transition amplitudes
With the use of projection operators, the formal expressions of distorted-wave and coupled-channel-wave transition amplitudes for rearrangement collisions are derived. Use of projection operators (for the transition amplitudes) sharpens our understanding of the structural differences between the two transition amplitudes. The merit of each representation of the transition amplitudes is discussed. Derived perturbation potentials are found to have different structures. The rigorously derived distorted-wave Born-approximation (DWBA) transition amplitude is shown to be a generalization of the earlier DWBA expression obtained from the assumption of the dominance of elastic scattering in rearrangement collisions.
- Research Organization:
- Department of Physics and Graduate Center for Cloud Physics Research, University of Missouri, Rolla, Missouri 65401
- OSTI ID:
- 6428469
- Journal Information:
- Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 32:5; ISSN PLRAA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
AMPLITUDES
ATOM COLLISIONS
ATOM-MOLECULE COLLISIONS
BORN APPROXIMATION
COLLISIONS
COUPLED CHANNEL THEORY
DISTORTED WAVE THEORY
DWBA
INELASTIC SCATTERING
MATHEMATICAL OPERATORS
MOLECULE COLLISIONS
PERTURBATION THEORY
POTENTIALS
PROJECTION OPERATORS
SCATTERING
TRANSITION AMPLITUDES