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A new K-matrix approach to N-body scattering (1991)

Gibson, A. G. ; Waters, A. J. ; Berthold, G. H. ; [weitere]

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 32 (1991), S. 3117-3124

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Details

ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The Chandler–Gibson theory of N-body scattering is used to define a new K matrix for N-body quantum scattering systems. The half-on-shell K matrix has the proper channel thresholds and may be computed using a K-matrix form of the CG equations. The on-shell K matrix is an Hermitian matrix for all energies and is related to a unitary scattering matrix via a Cayley transform. A B-spline solution method is developed and applied to a two-body and a three-body test problem. The three-body numerical calculations are within 0.5% of the exact solution both below and above the breakup threshold.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.529059

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