Calculation of projectile scattering-angle-dependent ionisation cross sections in the impact parameter approximation

1989 ◽  
Vol 22 (22) ◽  
pp. L639-L646 ◽  
Author(s):  
M Horbatsch
Keyword(s):  
Impact Parameter ◽  
Cross Sections ◽  
Scattering Angle ◽  
The Impact ◽  
Parameter Approximation

Superoperator methods for calculating cross sections. IV: Decoupled motions approximation

1984 ◽  
Vol 62 (5) ◽  
pp. 505-511
Author(s):  
Ralph Eric Turner ◽  
R. F. Snider ◽  
John S. Dahler
Keyword(s):  
Quantum Mechanics ◽  
Time Evolution ◽  
Impact Parameter ◽  
Cross Sections ◽  
First Principles ◽  
Translational Motion ◽  
Inelastic Collisions ◽  
The Impact ◽  
Parameter Approximation ◽  
Classical And Quantum Mechanics

A decoupled motions approximation to the time evolution of binary inelastic collisions is presented. The translational motion of the particles is described by a reference Hamiltonian while the internal motion is parameterized by the average trajectory associated with the translational motion. This description is applicable to both classical and quantum mechanics and any combination thereof. Thus it includes the standard impact parameter approximation. Cross sections for this decoupled evolution are derived from first principles. Explicit results for the impact parameter approximation are given.

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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