Cross sections of electron capture and electron capture ionization versus the impact parameter in collisions of a proton with multielectron atoms

2014 ◽  
Vol 59 (5) ◽  
pp. 642-648 ◽  
Author(s):  
V. V. Afrosimov ◽  
A. A. Basalaev ◽  
G. N. Ogurtsov ◽  
M. N. Panov
2019 ◽  
Vol 34 (32) ◽  
pp. 1950259 ◽  
Author(s):  
S. M. Troshin ◽  
N. E. Tyurin

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.


2014 ◽  
Vol 29 (26) ◽  
pp. 1450151 ◽  
Author(s):  
S. M. Troshin ◽  
N. E. Tyurin

A gradual transition to the reflecting scattering mode developing already at the LHC energies is affecting multiparticle production dynamics, in particular, relation of the centrality with the impact parameter values of pp-collisions. We discuss the issues in the framework of the geometrical picture for the multiparticle production processes proposed by Chou and Yang. We consider effects of reflective scattering mode presence for the inclusive cross-sections.


2015 ◽  
Vol 93 (11) ◽  
pp. 1360-1364 ◽  
Author(s):  
Reda S. Tantawi ◽  
A. Nagah

Direct excitations for atomic hydrogen 2s → 3s, 3p, and 3d transitions by proton and antiproton collisions have been investigated by using an impact parameter treatment. The calculations are performed within the impact parameter versions of the first- and second-order Born approximations, as well as the solution of the coupled differential equations arising from the one-center atomic-orbital close-coupling approach. We have considered calculations that allow couplings to the n = 1–5 states (up to g sub-levels) of the target atom as well as others that neglect the effect of all states other than the initial and final states of the target atom. The sensitivity of the cross sections to the sign of the projectile charge as well as the influence of the mechanism of possible electronic transitions allowed by the techniques under consideration have been studied. The calculated cross sections are compared with those obtained by previous calculations.


1984 ◽  
Vol 62 (5) ◽  
pp. 505-511
Author(s):  
Ralph Eric Turner ◽  
R. F. Snider ◽  
John S. Dahler

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.


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