Complete experiments for the double ionization of He: (e,3e) cross sections at 1 keV impact energy and small momentum transfer

Lahmam‐Bennani, A.; Duguet, A.; Gaboriaud, M N; Taouil, I.; Lecas, M; Kheifets, Anatoli; Berakdar, J.; Cappello, C. Dal

doi:10.1088/0953-4075/34/15/313

Cited by 38 publications

(61 citation statements)

References 19 publications

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“…This is in apparent accord with the observations of Lahmam-Bennani et al [3,15] in the atomic case. This latter peak becomes more marked and the overall value of the cross section increases when E b ͑=E c ͒ decreases (Fig.…”

Section: Resultssupporting

confidence: 92%

“…We have considered 200-eV electrons scattered by the quantum dot with the scattered electrons taking away most of the energy while the ejected electrons are slow. In order to span whole range of variables q ជ, k ជ b , and k ជ c the angular distribution of X has been studied in the literature in various kinematical arrangements, such as (i) fixed ejected angle mode, (ii) symmetrical emission mode, (iii) energy sharing with fixed total energy of ejected electrons mode, (iv) identical directions of emission and varying q ជ mode, (v) fixed mutual angle mode, and (vi) Bethe ridge mode [2,3,[13][14][15][16][17]. In the present study the c.m.…”

Section: Resultsmentioning

confidence: 99%

“…Note that this is a first Born calculation with the aim of analyzing the angular distribution of X in the present context. The modifications caused by the Coulomb interaction between the scattered electron and the ejected electrons [18] and the second-order effects [19][20][21] have not been considered. Figure 3 presents angular distribution in the fixed mutual angle mode, that is, with variable b and c while keeping the mutual angle bc fixed for L = 0.…”

Section: Resultsmentioning

confidence: 99%

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(e,3e)process on a quantum dot

Srivastava

2004

Phys. Rev. A

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The exact initial state wave function of an interacting electron pair in a quantum dot under parabolic confinement and neutralization of the dot by the substrate after ejection of electrons is exploited to obtain the fivefold differential cross section ͑X͒ of the ͑e ,3e͒ process on the dot. The reflections of the center-of-mass (c.m.) motion and relative motion on X are decoupled if the incident and scattered electrons are energetic and the ejected electrons are slow. The results are studied in fixed mutual angle (with zero c.m. momentum K) and Bethe ridge modes which allow the "cleanest" analysis of the contribution of the relative motion. The Coulomb interaction between the emitted electrons is found to qualitatively change the angular distribution of X. In the mode in which the magnitude of K is equal to the momentum transfer q, the angular distribution of X with respect to Kq = cos −1 ͑K · q ͒ leads to a mapping of the initial c.m. wave function of the ejected pair. However, the c.m. motion is found to be best studied in the kinematics where the relative momentum k ជ of the ejected pair is equal to q ជ.

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Section: Resultssupporting

confidence: 92%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

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(e,3e)process on a quantum dot

Srivastava

2004

Phys. Rev. A

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“…These observations are expected to be model independent as the general qualitative shapes of FDCS obtained by using a correlated four-body final state or convergent close coupling formalism are grossly similar to the one obtained by using three-Coulomb wave method of Brauner, Briggs and Klar (BBK) [36]. Present choice of the final state wave function using effective charges and Gamow factor is an approximation to the BBK wave function [37] and has been found to lead to essentially identical results which differ only in the over-all magnitude [38][39][40].…”

Section: Resultsmentioning

confidence: 59%

(e, 3e) test on e-e correlations in helium

Srivastava

Muktavat

2002

Pramana - J Phys

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The angular variations of the five-fold differential cross section obtained by using different wave functions of helium are compared with experimental data. It is found that in the coplanar geometry two kinematical arrangements, (i) equal energy sharing between the two ejected electrons with one of them ejected along the momentum transfer direction and the other along varying direction and (ii) the Bethe ridge condition with fixed sum of ejected electron energies and varying angle between them, are very sensitive to e-e correlations contained in the target wave function. This comparison has been used to show that open-shell class of wave functions better incorporate e-e correlations than the closed-shell class.

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“…For the case of electron impact several FDCS measurements under different emission energies and momentum transfer regimes have been carried out by the Orsay and Heidelberg groups (restricted to fast projectiles; see Refs. [13][14][15][16]); many theoretical studies have been dedicated to interpreting these data (a nonexhaustive list of references is given in the introduction of our most recent publications [17,18] on the topic). In comparison, much less frequent are differential cross-section measurements for proton impact.…”

Section: Introductionmentioning

confidence: 99%

Double ionization of helium by proton impact: A generalized-Sturmian approach

et al. 2015

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We present ab initio calculations for the double ionization of helium by fast proton impact, using the generalized-Sturmian-functions methodology and within a perturbative treatment of the projectile-target interaction. The cross-section information is extracted from the asymptotic behavior of the numerical three-body function that describes the emission process. Our goal is to provide benchmark first-order Born fully differential cross sections with which one may investigate the suitability of transition matrices calculated using approximate analytic-type solutions for the double continuum (the choice of effective charges or effective momenta to partially account for the internal target interactions being, to some extent, arbitrary). We also provide fully differential cross sections for the low-ejection-energy regime, which is beyond the suitable range of such perturbative methods. We find, however, that the effective momentum approach allows one to get at least a rough characterization of the most dominant physical process involved. We also compare our calculations with the only available relative experimental set, showing an agreement in shape that can be well understood within the given momentum transfer regime.

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Complete experiments for the double ionization of He: (e,3e) cross sections at 1 keV impact energy and small momentum transfer

Cited by 38 publications

References 19 publications

(e,3e)process on a quantum dot

(e,3e)process on a quantum dot

(e, 3e) test on e-e correlations in helium

Double ionization of helium by proton impact: A generalized-Sturmian approach

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