Generalization of the phase method to multi-channel potential scattering

1964 ◽  
Vol 34 (6) ◽  
pp. 1667-1686 ◽  
Author(s):  
A. Degasperis
Keyword(s):  
Potential Scattering ◽  
Phase Method ◽  
Channel Potential

Existence of partial-wave two-cluster atomic scattering amplitudes

1979 ◽  
Vol 57 (3) ◽  
pp. 449-456 ◽  
Author(s):  
J. Nuttall ◽  
S. R. Singh
Keyword(s):  
Scattering Amplitudes ◽  
Partial Wave ◽  
Scattering Problem ◽  
Potential Scattering ◽  
Atomic Systems ◽  
Almost Everywhere ◽  
Cluster Threshold ◽  
Channel Potential ◽  
Atomic Scattering ◽  
Coupled Channel

It is shown, with some restrictions, that two-cluster partial wave scattering amplitudes for atomic systems whose particles interact via two-body Coulomb potentials exist almost everywhere in the energy range below any three-cluster threshold. The method of proof is to reduce the problem to a coupled channel potential scattering problem with pseudo-local potentials. Boost analyticity is used to derive the pseudo-locality.

High Energy Behavior in Infinite Channel Potential Scattering

1974 ◽  
Vol 52 (20) ◽  
pp. 2002-2006
Author(s):  
A. Z. Capri ◽  
H. J. Kreuzer
Keyword(s):  
Optical Potential ◽  
Bounded Function ◽  
Scattering Problem ◽  
High Energy ◽  
Potential Scattering ◽  
Regge Trajectories ◽  
High Energy Behavior ◽  
Energy Behavior ◽  
Channel Potential

We show that for an infinite channel potential scattering problem with bordered interaction, the resultant generalized optical potential is always a bounded function of the energy if it exists as an operator. Thus for this type of model no infinitely rising Regge trajectories are possible.

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