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The scattering theory in the two states approximation

Cao xuan Chuan

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The theory of coupled differential equations is applied to the problem of scattering in the two states approximation. It is shown that the methodology can be substantially improved by introducing the 'three parameters approach' in the general non-resonance case and the 'two parameters approach' in the non-exact resonance case. The S matrix can be constructed from these results and satisfies the unitary and symmetry requirements as expected. Huck's model (1957) and triplet nucleon-nucleon scattering are taken as illustrative examples.


PACS

03.65.Nk Scattering theory

02.10.Yn Matrix theory

02.30.Hq Ordinary differential equations

MSC

81U20 S-matrix theory, etc.

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other quantum-mechanical equations

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 3 (21 February 1984)



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