Remarks on the Unitarity Condition in the Impact-Parameter Representation

1970 ◽  
Vol 1 (2) ◽  
pp. 719-720 ◽  
Author(s):  
H. Chew
Keyword(s):  
Impact Parameter ◽  
Unitarity Condition ◽  
Parameter Representation ◽  
The Impact

Properties of the impact-parameter representation

1973 ◽  
Vol 15 (4) ◽  
pp. 663-688 ◽  
Author(s):  
J. Kupsch ◽  
I. O. Stamatescu
Keyword(s):  
Impact Parameter ◽  
Parameter Representation ◽  
The Impact

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.

scholarly journals Soft QCD dynamics of elastic scattering in the impact parameter representation

2001 ◽  
Vol 63 (5) ◽  
Author(s):  
B. Z. Kopeliovich ◽  
I. K. Potashnikova ◽  
B. Povh ◽  
E. Predazzi
Keyword(s):  
Elastic Scattering ◽  
Impact Parameter ◽  
Parameter Representation ◽  
The Impact

scholarly journals Cul-De-Sac of the Spatial Image of Proton Interactions

Physics ◽  
2019 ◽  
Vol 1 (1) ◽  
pp. 33-39 ◽  
Author(s):  
Igor Dremin
Keyword(s):  
Elastic Scattering ◽  
Impact Parameter ◽  
Imaginary Part ◽  
Parameter Space ◽  
Scattering Amplitude ◽  
Unitarity Condition ◽  
Spatial Image ◽  
Elastic Scattering Amplitude ◽  
Impact Parameter Space ◽  
The Impact

The unitarity condition in the impact parameter space is used to obtain some information about the shape of the interaction region of colliding protons. It is shown that, strictly speaking, a reliable conclusion can be gained only if the behavior of the elastic scattering amplitude (especially, its imaginary part) at all transferred momenta is known. This information is currently impossible to obtain from experimentation. In practice, several assumptions and models are used. They lead to different results as shown below.

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