Method of functional integration and an eikonal approximation for potential scattering amplitudes

1970 ◽  
Vol 4 (1) ◽  
pp. 643-651 ◽  
Author(s):  
V. N. Pervushin
Keyword(s):  
Scattering Amplitudes ◽  
Functional Integration ◽  
Eikonal Approximation ◽  
Potential Scattering

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.

Potential Scattering and Galilei-Invariant Expansions of Scattering Amplitudes

1973 ◽  
Vol 8 (10) ◽  
pp. 3527-3538 ◽  
Author(s):  
E. G. Kalnins ◽  
J. Patera ◽  
R. T. Sharp ◽  
P. Winternitz
Keyword(s):  
Scattering Amplitudes ◽  
Potential Scattering

Exact bounds to one-dimensional potential scattering amplitudes through the classical theory of moments

1988 ◽  
Vol 38 (1) ◽  
pp. 490-493 ◽  
Author(s):  
Carlos R. Handy ◽  
Lishi Luo ◽  
Giorgio Mantica ◽  
Alfred Z. Msezane
Keyword(s):  
Scattering Amplitudes ◽  
Classical Theory ◽  
Potential Scattering ◽  
One Dimensional ◽  
Exact Bounds

Potential Scattering in the Eikonal Approximation

1973 ◽  
Vol 8 (8) ◽  
pp. 2622-2639 ◽  
Author(s):  
F. W. Byron ◽  
C. J. Joachain ◽  
E. H. Mund
Keyword(s):  
Eikonal Approximation ◽  
Potential Scattering
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