The modified Newton–Sabatier method for the coupled channel inverse scattering problem with charged particles at fixed energy

1998 ◽  
Vol 39 (6) ◽  
pp. 3061-3072 ◽  
Author(s):  
Matthias Eberspächer ◽  
Werner Scheid
Keyword(s):  
Inverse Scattering ◽  
Scattering Problem ◽  
Charged Particles ◽  
Inverse Scattering Problem ◽  
Fixed Energy ◽  
Coupled Channel

QUANTUM INVERSE SCATTERING PROBLEM FOR COUPLED CHANNELS

2008 ◽  
Vol 22 (23) ◽  
pp. 2241-2256
Author(s):  
BARNABÁS APAGYI ◽  
WERNER SCHEID
Keyword(s):  
Inverse Scattering ◽  
Nuclear Reactions ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Fixed Energy ◽  
Concise Review ◽  
Coupled Channels ◽  
Reaction Channels ◽  
Coupled Channel ◽  
Coupled Reaction

The article gives a concise review on methods for solving the inverse scattering problem of coupled reaction channels in quantum mechanics at fixed energy and presents specific applications to nuclear reactions. Two methods are considered, namely the Newton–Sabatier method and an approximate method based on the first Born approximation. Examples with artificial coupling potentials are shown to provide successful tests of both the methods. Further developments of the coupled channel inverse problem at fixed energy are needed for manifold applications in various fields of physics.

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