Multiple-Scattering Expansions for Nonrelativistic Three-Body Collision Problems. VIII. Eikonal Approximation for the Faddeev-Watson Multiple-Scattering Expansion

1973 ◽  
Vol 7 (6) ◽  
pp. 2003-2009 ◽  
Author(s):  
Joseph C. Y. Chen ◽  
Lars Hambro ◽  
A. L. Sinfailam ◽  
Kwong T. Chung
Keyword(s):  
Multiple Scattering ◽  
Eikonal Approximation ◽  
Three Body

scholarly journals On-shell three-body multiple scattering equations

1978 ◽  
Vol 295 (3) ◽  
pp. 463-481 ◽  
Author(s):  
B.R. Karlsson
Keyword(s):  
Multiple Scattering ◽  
Three Body

Proton-4He elastic scattering at 350–1728MeV energies: Three-body force effect

2018 ◽  
Vol 27 (03) ◽  
pp. 1850020
Author(s):  
M. A. Hassan ◽  
H. E. A. Awd-Allah ◽  
T. N. E. Salama ◽  
Z. S. Hassan
Keyword(s):  
Elastic Scattering ◽  
Multiple Scattering ◽  
Scattering Theory ◽  
Body Force ◽  
Nucleon Force ◽  
Force Effect ◽  
Optical Limit ◽  
Optical Limit Approximation ◽  
Three Body ◽  
Limit Approximation

An approach for the three-body force effect is used to study p-[Formula: see text] elastic scattering at energies 350–1728[Formula: see text]MeV. The multiple scattering theory of Glauber and the optical limit approximation are used in calculations of elastic scattering differential cross-section at 350, 600, 800, 1000 and 1728[Formula: see text]MeV. The inclusion of 2[Formula: see text]-exchange three-nucleon force improves the agreement with the experimental data for both approximations. The results of optical limit approximation without three-nucleon force effect are clearly smaller than the results of multiple scattering theory for [Formula: see text] due to the absence of multiple scattering terms in the first. However, with inclusion of three-nucleon force, the results of both approximations are approximately similar.

Multiple-scattering expansions for non-relativistic three-body collision problems

Physica ◽  
1971 ◽  
Vol 53 (3) ◽  
pp. 333-350 ◽  
Author(s):  
J.C.Y. Chen ◽  
C.J. Joachain
Keyword(s):  
Multiple Scattering ◽  
Three Body

Multiple scattering with three-body forces

1977 ◽  
Vol 108 (2) ◽  
pp. 401-407 ◽  
Author(s):  
N. Austern
Keyword(s):  
Multiple Scattering ◽  
Body Forces ◽  
Three Body

scholarly journals Three-Body Scattering and Hail Size

2010 ◽  
Vol 49 (4) ◽  
pp. 687-700 ◽  
Author(s):  
D. S. Zrnic ◽  
G. Zhang ◽  
V. Melnikov ◽  
J. Andric
Keyword(s):  
Size Distribution ◽  
Multiple Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
Unit Volume ◽  
Wave Component ◽  
Coherent Wave ◽  
Storm Cells ◽  
Three Body ◽  
Radar Equation

Abstract The three-body scattering signature is an appendage seen on weather radar displays of reflectivity behind strong storm cells. It is caused by multiple scattering between hydrometeors and the ground. The radar equation for this phenomenon is reexamined and corrected to include the coherent wave component producing 3 dB more power than previously reported. Furthermore, the possibility to gauge hail size causing this phenomenon is explored. A model of forward scattering by spherical hail and accepted values of ground backscattering cross sections are used in an attempt to reconcile the reflectivity in this signature with observations. This work demonstrates that the signature can be caused by small- (<10 mm) to moderate- (20 mm) sized hail. An effort to gauge hail size by comparing the direct return from hail with the three-body scattered return is made. The theory indicates fundamental ambiguities in size retrieval resulting from resonant effects. Although theory eliminates the number of hailstones per unit volume, the shape of hail size distribution and the cross section of ground contribute additional uncertainty to the retrieval.

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