Scattering theory of close-coupling equations

Journal Article · Thu Mar 01 04:00:00 EST 1990 · Physical Review, A (General Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevA.41.2536· OSTI ID:6850990

Stelbovics, A T ^[1]

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1. School of Mathematical, Murdoch University, Perth, Western Australia, Australia 6150 (Australia) Physical Sciences, Murdoch University, Perth, Western Australia, Australia 6150 (Australia)

The scattering theory implied by the close-coupling equations is studied using a Lippmann-Schwinger formalism. The new results derived can be summarized as follows: An alternative form of the equations that ensures there are no spurious solutions in the scattering region can be constructed, and moreover there is an infinite number of such forms. The Neumann- (perturbation-) series expansion diverges in general for most energies for both the old and new forms. The Born limit nevertheless holds and can be recovered by appropriate rearrangement of the Neumann series. The original integral formulation may give convergent scattering amplitudes despite the lack of uniqueness of the solutions. The conditions under which this happens are examined.

• OSTI ID: 6850990
• Journal Information: Physical Review, A (General Physics); (USA), Journal Name: Physical Review, A (General Physics); (USA) Vol. 41:5; ISSN PLRAA; ISSN 0556-2791
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
COLLISIONS
ELASTIC SCATTERING
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
ELEMENTS
EQUATIONS
HYDROGEN
INTEGRAL EQUATIONS
ION COLLISIONS
ION-ATOM COLLISIONS
LIPPMANN-SCHWINGER EQUATION
NEUMANN SERIES
NONMETALS
POTENTIAL SCATTERING
SCATTERING
SERIES EXPANSION