Differential cross sections for single ionization of H<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow /><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>by 75-keV proton impact

Chowdhury, Ujjal; Schulz, Michael; Madison, Don H.

doi:10.1103/physreva.83.032712

Cited by 28 publications

(28 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The two theoretical models considered here are the three-body distorted wave (3DW) approximation and the threebody distorted wave-Eikonal initial state (3DW-EIS) approximation. The details of these approaches can be found in [33,55,56] so only a brief overview will be given here. These two models are very similar and the only difference is the initial-state wavefunction for the incoming projectile.…”

Section: Theoretical Modelsmentioning

confidence: 99%

Comparison of experimental and theoretical fully differential cross sections for single ionization of the2sand2pstates of Li byO<

et al. 2016

View full text Add to dashboard Cite

show abstract

Section: Theoretical Modelsmentioning

confidence: 99%

Comparison of experimental and theoretical fully differential cross sections for single ionization of the2sand2pstates of Li byO<

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Now the loss of coherence in an inelastic collision process can be described by convoluting the theoretical cross section of the process (obtained with plane-wave projectile) with the above convolution function. For the theoretical interpretation of the experimental results of Egodapitiya et al [4], Feagin and Hargreaves [7] used the DDCS calculated by Chowdhury et al [17] in the framework of the molecular three-body distorted-wave-eikonal initial-state (M3DW-EIS) approach. This model accounts for the observed interference structure resulting from the two-center potential of the molecule in a way that lower-order approaches, for instance, the first Born approximation, would not achieve [17].…”

mentioning

confidence: 99%

“…As a correction, in Refs. [7,17] a multiplying factor of 4.5 was applied to the DDCS values. We note that in the present analysis this correction factor is already included in the M3DW-EIS cross sections.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Loss of wave-packet coherence in ion-atom collisions

et al. 2016

View full text Add to dashboard Cite

The projectile beam coherence effects occurring in ion-atom collisions are analyzed on the basis of the recent theory of Karlovets et al. [Phys. Rev. A 92, 052703 (2015)] developed for the elastic scattering of wave packets of particles off a potential field. This theory is generalized to estimate the loss of coherence for inelastically scattered projectiles in ionizing collisions. The results obtained by the suggested model are compared with experimental data for the ionization of hydrogen atoms and molecules by 75-keV proton impact. Significantly improved agreement is observed between the theory and experiment. DOI: 10.1103/PhysRevA.93.032702 In a recent work Karlovets et al.[1] investigated theoretically the scattering of wave packets of nonrelativistic particles off a potential field. The authors derived a simple general expression that determines the number of scattering events for the case when the incident particle beam is a wave packet of arbitrary form but with its mean momentum strongly centered at a given value p i . Furthermore, they considered the example when the wave packet is scattered off randomly distributed potential centers. By averaging the number of events over the impact parameter between the potential center and the wave packet axis, they derived a formula for the effective cross section that reproduces the one obtained by previous authors (see, e.g., [2,3]where dσ /d | q i →q f is the differential cross section for the elastic scattering in an angle θ = arccos(q i ·q f ). Furthermore, by writing (k) = ⊥ (k ⊥ ) (k ), with strongly centered on p i , they obtainedKarlovets et al. carried out sample calculations for the case of electron impact, applying the Born approximation. They considered the collisions of a Gaussian wave packeton a Gaussian potential as well as on the hydrogen atom. Here σ ⊥ is the averaged transverse size of the wave packet. As a remarkable result, they found that the angular distributions of the effective cross section broaden with the decrease of σ ⊥ . [4] could control the coherence properties of the ion beam and thereby demonstrate the effect of the projectile coherence on the angular distribution of the scattered protons. The principle of the experiment is based on the van Cittert-Zernike theorem according to which the transverse coherence length r (the diameter of the area of coherence) of a source of waves at a distance L is of the order of λ/kα, where λ is the wavelength, α is the angular diameter of the source, and k is a dimensionless constant.Egodapitiya et al. used a well-collimated nearly monochromatic [< 1 eV full width at half maximum (FWHM)] proton beam that crossed a molecular hydrogen beam. The measured quantity was the doubly differential cross section (DDCS) for the ionization as a function of the scattering angle θ and the energy loss of the protons. The measurements were made at two coherence length values corresponding to two values of the distance between the target and the last aperture of the collimator, L = 6.5 and 50 cm. The diameter of t...

show abstract

“…Up to date the FDCS for ionization have been successfully measured in collisions involving light targets such as helium [3][4][5], lithium [6,7], and molecular hydrogen [8,9]. For these targets, non-relativistic theoretical treatment is sufficient.…”

Section: Introductionmentioning

confidence: 99%

Relativistic calculations of differential ionization cross sections: Application to antiproton-hydrogen collisions

et al. 2017

View full text Add to dashboard Cite

A new relativistic method based on the Dirac equation for calculating fully differential cross sections for ionization in ion-atom collisions is developed. The method is applied to ionization of the atomic hydrogen by antiproton impact, as a non-relativistic benchmark. The fully differential, as well as various doubly and singly differential cross sections for ionization are presented. The role of the interaction between the projectile and the target nucleus is discussed. Several discrepancies in available theoretical predictions are resolved. The relativistic effects are studied for ionization of hydrogenlike xenon ion under the impact of carbon nuclei.

show abstract

Differential cross sections for single ionization of H2by 75-keV proton impact

Cited by 28 publications

References 48 publications

Comparison of experimental and theoretical fully differential cross sections for single ionization of the2sand2pstates of Li byO<

Comparison of experimental and theoretical fully differential cross sections for single ionization of the2sand2pstates of Li byO<

Loss of wave-packet coherence in ion-atom collisions

Relativistic calculations of differential ionization cross sections: Application to antiproton-hydrogen collisions

Contact Info

Product

Resources

About