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 A note on the relations between elastic and inelastic interactions and increasing ratio σel(s)/σtot(s) at the LHC

2019 ◽  
Vol 34 (32) ◽  
pp. 1950259 ◽  
Author(s):  
S. M. Troshin ◽  
N. E. Tyurin
Keyword(s):  
Elastic Scattering ◽  
Energy Dependence ◽  
Impact Parameter ◽  
Cross Sections ◽  
Parameter Dependence ◽  
Slope Parameter ◽  
Short Notice ◽  
Inelastic Interactions ◽  
The Impact ◽  
Mode A

We comment briefly on relations between the elastic and inelastic cross-sections valid for the shadow and reflective modes of the elastic scattering. Those are based on the unitarity arguments. It is shown that the redistribution of the probabilities of the elastic and inelastic interactions (the form of the inelastic overlap function becomes peripheral) under the reflective scattering mode can lead to increasing ratio of [Formula: see text] at the LHC energies. In the shadow scattering mode, the mechanism of this increase is a different one, since the impact parameter dependence of the inelastic interactions probability is central in this mode. A short notice is also given on the slope parameter and the leading contributions to its energy dependence in both modes.

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