An impact parameter representation for the off-energy-shell scattering amplitude

1971 ◽  
Vol 241 (2) ◽  
pp. 124-129 ◽  
Author(s):  
A. Y. Abul-Magd ◽  
M. H. Simbel
Keyword(s):  
Impact Parameter ◽  
Scattering Amplitude ◽  
Energy Shell ◽  
Parameter Representation

Impact Parameter Representations

1972 ◽  
Vol 50 (16) ◽  
pp. 1862-1875 ◽  
Author(s):  
A. N. Kamal
Keyword(s):  
Wave Function ◽  
Impact Parameter ◽  
Momentum Space ◽  
Scattering Amplitude ◽  
Function Approach ◽  
Coordinate Space ◽  
Energy Shell ◽  
Parameter Representation ◽  
The Relationship

A discussion of the Glauber and Blankenbecler–Goldberger impact parameter representation for the scattering amplitude is presented with emphasis on the wave function approach. The treatment makes clear the relationship between the approximations made to derive either of the two amplitudes. Both on-energy-shell and off-energy-shell scatterings are treated. A derivation of the two representations in momentum space is presented bringing out the relationship between the approximations in a coordinate space treatment and the momentum space treatment.

Impact Parameter Representation for Forward and Backward Scattering of Two Particles

1974 ◽  
Vol 52 (9) ◽  
pp. 830-837 ◽  
Author(s):  
J. M. Allerton ◽  
B. S. Bhakar
Keyword(s):  
Impact Parameter ◽  
High Energy ◽  
Energy Limit ◽  
High Energy Limit ◽  
Energy Shell ◽  
Parameter Representation

The Lippman–Schwinger equation is solved to obtain an impact parameter representation for the forward and backward scattering. The Blankenbecler and Goldberger type amplitude is obtained in the high energy limit without any angular restriction. Then, the off energy shell amplitude in the forward and backward cone is obtained, which reduces to Glauber form on the energy shell. Finally, unitarity restriction and the scope of the formalism are discussed.

scholarly journals Note on a New Form of Impact Parameter Representation

1988 ◽  
Vol 80 (5) ◽  
pp. 752-756
Author(s):  
T. Adachi ◽  
G. Sakaguchi ◽  
S. Sasabe
Keyword(s):  
Impact Parameter ◽  
Parameter Representation ◽  
New Form

scholarly journals An Impact Parameter Representation of the Scattering Problem*

1968 ◽  
Vol 39 (2) ◽  
pp. 430-452 ◽  
Author(s):  
Toshimi Adachi ◽  
Tsuneyuki Kotani
Keyword(s):  
Impact Parameter ◽  
Scattering Problem ◽  
Parameter Representation
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