Radiation force expansions in terms of partial wave phase shifts for scattering: Examples

2016 ◽  
Vol 139 (4) ◽  
pp. 2073-2073
Author(s):  
Philip L. Marston ◽  
Likun Zhang
Keyword(s):  
Partial Wave ◽  
Radiation Force ◽  
Phase Shifts ◽  
Wave Phase

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.

scholarly journals Corrigendum: Mott?Schwinger Effect in the Elastic Scattering of Neutrons from 209Bi

1995 ◽  
Vol 48 (4) ◽  
pp. 737 ◽  
Author(s):  
N Alexander ◽  
K Amos ◽  
L Berge
Keyword(s):  
Partial Wave ◽  
Cross Section ◽  
Cross Sections ◽  
Phase Shifts ◽  
Exact Results ◽  
Forward Angle ◽  
Nuclear Scattering ◽  
Wave Phase ◽  
Angle Effect ◽  
Theoretical Developments

The results presented in our recent paper are in error. All of the theoretical developments contained therein are correct but the Mott-Schwinger (MS) interaction was doubly counted for small radii in our computations. That had a significant effect upon the exact values of the small-f partial wave phase shifts. In fact, the correct variation of the first 20 partial wave phase shifts from purely nuclear scattering are much smaller than we presented before. Consequently the variation caused by the MS effect in predictions of the observables is smaller than previously indicated, and particularly so for scattering angles in excess of 20� for the cases of neutrons scattered from bismuth that were considered. At small angles, there are still characteristic and noticeable differences caused by the MS interaction for the scattering of 0�5, 14�5 and 24 MeV neutrons from 209Bi. With the differential cross section, the forward angle effect remains as shown previously; that is, dominated by the cot (~O) element in the scattering amplitudes due to the infinite partial wave sum of MS phase contributions. But the deviations to the higher angle cross sections reported earlier are very much reduced. The major effects of the correction, however, are with the predictions of the spin-dependent measureables and the exact results for P(O) and the two general variables, Xvar(O) and Yvar(O).

Additivity of Scattering Phase Shifts

1974 ◽  
Vol 52 (24) ◽  
pp. 2445-2450
Author(s):  
K. K. Bajaj ◽  
Y. Nogami
Keyword(s):  
Partial Wave ◽  
Impact Parameter ◽  
Phase Shifts ◽  
Trivial Case ◽  
Wave Phase ◽  
Parameter Representation ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
The Impact

The additivities of the partial wave phase shifts (APP) and of the phase in the impact parameter representation (AIP) are examined for models of scattering from two centers which simulate nucleon–deuteron and pion–deuteron scatterings. It is shown that the AIP, which essentially leads to the Glauber approximation, holds very well, whereas the APP fails except for a trivial case.

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