On the Analytic Properties of Partial Wave Amplitudes in Yukawa Potential Scattering

1960 ◽  
Vol 1 (4) ◽  
pp. 274-279 ◽  
Author(s):  
Daniel I. Fivel ◽  
Abraham Klein
Keyword(s):  
Partial Wave ◽  
Yukawa Potential ◽  
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.

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.

On higher Born approximations in potential scattering

1951 ◽  
Vol 206 (1087) ◽  
pp. 509-520 ◽  
Keyword(s):  
Cross Section ◽  
Coulomb Potential ◽  
Yukawa Potential ◽  
Complete Solution ◽  
Potential Scattering ◽  
Matrix Formalism ◽  
Relativistic Case ◽  
Born Series ◽  
Dirac Electron ◽  
The Cross

Many discussions of higher Born approximations have followed the work of Distel (1932) and Sauter (1933 b ), which contains an error in its development, causing many conclusions presented in the literature to be incorrect. In this paper, the second Born approximation for scattering of a Dirac electron by a Yukawa potential is calculated by a correct method. For the limiting case of the Coulomb potential, the cross-section thus obtained is just the expression obtained by McKinley & Feshbach (1948) by expansion of Mott’s complete solution. A corresponding calculation is sketched for the meson, using β-matrix formalism, and its physical interpretation considered. For the non-relativistic case, the behaviour of the Born series (up to third order) is discussed for the transition from Yukawa to Coulomb potential, disproving the conclusions of Distel (1932), M∅ller (1930) and Urban (1943) that contributions to the cross-section from higher Born approximations become infinite in this limit.

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