Importance of non-first-order effects in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn /><mml:mo>(</mml:mo><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mn>3</mml:mn><mml:mi>e</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>double ionization of helium

Lahmam‐Bennani, A.; Duguet, A.; Cappello, C. Dal; Nebdi, H.; Piraux, Bernard

doi:10.1103/physreva.67.010701

Cited by 30 publications

(48 citation statements)

References 21 publications

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“…In the impulsive regime q Ͼ 1, deviation from the first Born regime was not so obvious [17]. Recent ͑e ,3e͒ experiments with very low projectile energy of 0.5 keV [18,19] clearly demonstrated very strong deviation from the first Born regime. To interpret these experiments, we extended our first Born implementation of the CCC method to include the second Born term in the projectile-target interaction.…”

Section: Introductionmentioning

confidence: 96%

Second-order Born model for two-electron atomic ionization by fast charged-particle impact

Kheifets

2004

Phys. Rev. A

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We develop a theoretical model to describe simultaneous ionization excitation and double ionization of a two-electron atomic shell (i.e., He 1s 2 ) by a fast charged-particle impact. The model accounts for the projectile-target interaction to the second order whereas the interaction of the two target electrons ejected into continuum is treated nonperturbatively by the convergent close-coupling (CCC) method. In the second-order term, all intermediate states of the target between two subsequent interactions with the projectile are weighted equally with an average energy denominator (the so-called closure approximation) and only the dipole interaction of the projectile with the target is included. The model is suited to describe two-electron ionization processes with large projectile velocity, small momentum transfer, and small to intermediate energy of the ejected electrons. The model is applied to ionization excitation and double ionization of He by electron and positron impact in kinematics of recent experiments.

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Section: Introductionmentioning

confidence: 96%

Second-order Born model for two-electron atomic ionization by fast charged-particle impact

Kheifets

2004

Phys. Rev. A

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“…The fact that these observations are clearly a manifestation of second or higher order effects, was recently beautifully confirmed by two independent theoretical works, where second Born terms were included: first by Piraux and Dal Cappello [27], who compared their results to the Orsay experiments at 600 eV, and subsequently by Kheifets [28], who implemented second Born contributions in his CCC model and compared the results with the COLTRIMS data at 500 eV and 2 keV. The conclusions from both works are very similar, hence I only show in that this effect could be attributed to the presence of large non-first-order contributions in the projectile-target interaction.…”

Section: The (E3e) Casementioning

confidence: 71%

Electron–Electron Coincidence Studies on Atomic Targets: A Review of (e,2e) and (e,3e) Experiments

Lahmam‐Bennani

2004

Correlation Spectroscopy of Surfaces, Thin Films, and Nanostructures

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“…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%

(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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Importance of non-first-order effects in the(e,3e)double ionization of helium

Cited by 30 publications

References 21 publications

Second-order Born model for two-electron atomic ionization by fast charged-particle impact

Second-order Born model for two-electron atomic ionization by fast charged-particle impact

Electron–Electron Coincidence Studies on Atomic Targets: A Review of (e,2e) and (e,3e) Experiments

(e,3e)process on a quantum dot

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