On three-body scattering near thresholds

Using exponential decay of the two-body interactions at infinity we discuss analytic expansions of two-cluster scattering operators and scattering amplitudes with respect to channel moments around (negative) thresholds. An explicit formula for elastic scattering amplitudes in terms of the three-body...

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Bibliographic Details
Published inSIAM journal on mathematical analysis Vol. 18; no. 4; pp. 1064 - 1086
Main Authors GESZTESY, F, KARNER, G
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Society for Industrial and Applied Mathematics 01.07.1987
Subjects
Atomic and molecular physics
Classical and quantum physics: mechanics and fields
Eigenvalues
Electronic structure of atoms, molecules and their ions: theory
Exact sciences and technology
General theory of scattering
Hypotheses
Other topics in the theory of the electronic structure of atoms, molecules and their ions
Physics
Three body problem
Particle scattering
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Summary:Using exponential decay of the two-body interactions at infinity we discuss analytic expansions of two-cluster scattering operators and scattering amplitudes with respect to channel moments around (negative) thresholds. An explicit formula for elastic scattering amplitudes in terms of the three-body resolvent is derived.
ISSN:0036-1410
1095-7154
DOI:10.1137/0518079