Single electron capture differential cross section in H<sup>+</sup> + He collisions at intermediate and high collision energies

A semiclassical impact parameter version of the continuum distorted wave-Eikonal initial state theory is developed to study the differential ionization of Li atoms in collisions with Li 2+ ions. Both post and prior forms of the transition amplitude are considered. The fully differential cross sections are calculated for the lithium targets in their ground and their first excited states and for the projectile ions at 16 MeV impact energy. The role of the internuclear interaction as well as the significance of the post-prior discrepancy in the ejected electron spectra are investigated. The obtained results for ejection of the electron into the azimuthal plane are compared with the recent measurements and with their corresponding values obtained using a fully quantum mechanical version of the theory. In most of the cases, the consistency of the present approach with the experimental and the quantum theoretical data is reasonable. However, for 2p-state ionization, in the cases where no experimental data exist, there is a considerable difference between the two theoretical approaches. This difference is questionable and further experiments are needed to judge which theory makes a more accurate description of the collision dynamics.

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“…It is probable that the results would be improved both in shape and in magnitude by considering the procedure outlined in Refs. [36] and/or [38].…”

Section: Resultsmentioning

confidence: 99%

Fully differential cross sections for Li²⁺-impact ionization of Li(2s) and Li(2p)

Ghorbani¹,

Ghanbari-Adivi²,

Ciappina³

2018

J. Phys. B: At. Mol. Opt. Phys.

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“…The total charge transfer cross section has been the subject of extensive experimental studies in this energy regime [40,[51][52][53][54][60][61][62][63][64][65][66]. From a theoretical point of view, ion-atom collisions involving two electrons have been used as prototypical systems to investigate various approaches to describe single-electron capture, usually based on the Born distorted wave (BDW) method or the continuum distorted wave (CDW) method in the framework of three-body [13,14,67] or four-body formalisms [12,68,69]. Most of these works are also motivated by the description of features in the differential cross section [13,68,70] that have been observed in recent experiments on charge transfer and transfer ionization processes [71][72][73].…”

Section: High Energy Collision (E > 100 Kev/u)mentioning

confidence: 99%

Charge transfer in proton–helium collisions from low to high energy

Loreau

Ryabchenko

Vaeck

2014

J. Phys. B: At. Mol. Opt. Phys.

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The cross section for charge transfer in proton-helium collisions has been computed in the energy range from 10 eV/u up to 10 MeV/u. Four different methods (full quantal time-independent and time-dependent methods, molecular and atomic basis set semi-classical approaches) valid in different energy regimes have been used to calculate the partial and total cross section for single-electron capture. The results are compared with previous theoretical calculations and experimental measurements and the different theoretical methods used are shown to be complementary for describing the charge transfer reaction. A fit of the cross section, valid for collision energies from 10 eV/u up to 10 MeV/u is presented based on these results.

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“…The COLTRIMS technique has proven to be a powerful tool for revealing the details of the interactive dynamics of atomic collisions [9]. For example, within the past decade a number of experimental measurements [10][11][12][13][14][15][16][17][18] of differential cross sections for single charge exchange in p − He collision via the COLTRIMS technique have spurred renewed interest in theoretical calculations by means of a variety of methods [19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Boundary-corrected four-body continuum-intermediate-state method: Single-electron capture from heliumlike atomic systems by fast nuclei

2015

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Single charge exchange in collisions between bare projectiles and heliumlike atomic systems at intermediate and high incident energies is examined by using the four-body formalism of the first-and second-order theories. The main purpose of the present study is to investigate the relative importance of the intermediate ionization continua of the captured electron compared to the usual direct path of the single electron transfer from a target to a projectile. In order to achieve this goal, comprehensive comparisons are made between the four-body boundary-corrected continuum-intermediate-states (BCIS-4B) method and the four-body boundary-corrected first Born (CB1-4B) method. The perturbation potential is the same in the CB1-4B and BCIS-4B methods. Both methods satisfy the correct boundary conditions in the entrance and exit channels. However, unlike the CB1-4B method, the second-order BCIS-4B method takes into account the electronic Coulomb continuum-intermediate states in either the entrance or the exit channel depending on whether the post or the prior version of the transition amplitude is used. Hence, by comparing the results from these two theories, the relative importance of the intermediate ionization electronic continua can be assessed within the four-body formalism of scattering theory. The BCIS-4B method predicts the usual second-order effect through double scattering of the captured electron on two nuclei as a quantum-mechanical counterpart of the Thomas classical two-step, billiard-type collision. The physical mechanism for this effect in the BCIS-4B method is also comprised of two steps such that ionization occurs first. This is followed by capture of the electron by the projectile with both processes taking place on the energy shell. Moreover, the role of the second, noncaptured electron in a heliumlike target is revisited. To this end, the BCIS-4B method describes the effect of capture of one electron by the interaction of the projectile nucleus with the other electron via the static electron-electron correlations in the target. This effect yields a novelty seen as the second Thomas peak. As an illustration, detailed computations were carried out involving both the differential and total cross sections for one-electron capture in the p − He collisions at intermediate and high impact energies. The results obtained in the BCIS-4B method are compared with those from the CB1-4B method and with the available experimental data. The overall usefulness of the BCIS-4B method is assessed in predicting experimental data for four-body single charge exchange both qualitatively (shapes of cross sections) and quantitatively (numerical values from measurements).

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Single electron capture differential cross section in H⁺ + He collisions at intermediate and high collision energies

Cited by 33 publications

References 23 publications

Fully differential cross sections for Li²⁺-impact ionization of Li(2s) and Li(2p)

Fully differential cross sections for Li²⁺-impact ionization of Li(2s) and Li(2p)

Charge transfer in proton–helium collisions from low to high energy

Boundary-corrected four-body continuum-intermediate-state method: Single-electron capture from heliumlike atomic systems by fast nuclei

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Single electron capture differential cross section in H+ + He collisions at intermediate and high collision energies

Cited by 33 publications

References 23 publications

Fully differential cross sections for Li2+-impact ionization of Li(2s) and Li(2p)

Fully differential cross sections for Li2+-impact ionization of Li(2s) and Li(2p)

Charge transfer in proton–helium collisions from low to high energy

Boundary-corrected four-body continuum-intermediate-state method: Single-electron capture from heliumlike atomic systems by fast nuclei

Contact Info

Product

Resources

About

Single electron capture differential cross section in H⁺ + He collisions at intermediate and high collision energies

Fully differential cross sections for Li²⁺-impact ionization of Li(2s) and Li(2p)

Fully differential cross sections for Li²⁺-impact ionization of Li(2s) and Li(2p)