On the analytic properties and asymptotic behaviour for largel of partial-wave amplitudes in many-channel potential scattering

1964 ◽  
Vol 32 (4) ◽  
pp. 943-954
Author(s):  
M. H. Choudhury
Keyword(s):  
Asymptotic Behaviour ◽  
Partial Wave ◽  
Potential Scattering ◽  
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.

scholarly journals AN APPROACH TO POTENTIAL SCATTERING

2005 ◽  
Vol 20 (26) ◽  
pp. 1983-1989 ◽  
Author(s):  
B. GÖNÜL ◽  
M. KOÇAK
Keyword(s):  
Perturbation Theory ◽  
Partial Wave ◽  
Bound State ◽  
Phase Shifts ◽  
Potential Scattering ◽  
Wave Phase

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

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