Asymptotic behaviour of the total cross section for double ionization of helium-like ions by electrons

Defrance, Pierre; Kereselidze, Tamaz; Noselidze, Irakli; Tzulukidze, M F

doi:10.1088/0953-4075/34/23/334

Cited by 11 publications

(10 citation statements)

References 26 publications

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“…In our previous papers (Defrance et al 2000(Defrance et al , 2001 total DI cross sections for helium and helium-like ions have been calculated in the FBA using relatively simple wavefunctions. Namely, the bound and the ejected electrons have been described, respectively, by the Hylleraas-type wavefunction (with the radial correlation only) and by the symmetrized product of two Coulomb continuum wavefunctions.…”

Section: Introductionmentioning

confidence: 99%

On the behaviour of the (e, 3e) total cross section for helium at high and intermediate energies

Bahati

Cherkani-Hassani

Defrance

et al. 2005

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

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Applying the animated beam method the total cross sections (TCS) for double ionization (DI) of helium by electrons are measured in the collision energy region from threshold to 3 keV. The TCS for the same process are calculated at intermediate and high incident energies in the first Born approximation (FBA). The radial and angular correlations between the bound electrons and repulsion between the ejected electrons are accounted. In order to go beyond the FBA the scattered electron is considered as a particle being in the Coulomb field of the nucleus, the charge of which is screened by the ejected electrons. On the basis of the obtained results some conclusions concerning the behaviour of the TCS in the intermediate and high-energy regions are drawn.

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Section: Introductionmentioning

confidence: 99%

On the behaviour of the (e, 3e) total cross section for helium at high and intermediate energies

Bahati

Cherkani-Hassani

Defrance

et al. 2005

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

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“…In addition, the scattered electron being, by definition, the most energetic electron in the final state, we have followed the recommendations of Defrance et al [54] and Bahati et al [55] and defined the upper limits of the integration E 1 max and E 2 max as…”

Section: -4mentioning

confidence: 99%

Electron-induced double ionization of isolated water molecules

2013

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Theoretical doubly differential and total cross sections for electron-induced double ionization of oriented water molecules are reported here. The calculations are performed within the first Born approximation by describing the initial molecular state by means of single-center wave functions. Furthermore, the incident (scattered) electron is described by a plane wave while a Coulomb wave function is used for modeling the two secondary ejected electrons. The contribution of each final state to the double-ionization process is analyzed, namely, in considering target electrons ejected either from similar or from different molecular subshells. Thus, secondary electron energetic distributions as well as total cross sections are reported for particular target configurations, pointing out orientation effects in the double-ionization process

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“…In the limit of large incident energies, the asymptotic behaviour of total cross sections corresponding to single, double, etc ionization of atoms by electron impact can be represented as [17][18][19]…”

Section: Empirical Formulamentioning

confidence: 99%

Screening effects and total cross sections of single, double and triple ionization of neon by fast electrons

Defrance

Jureta

Kereselidze

et al. 2008

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

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The Bethe–Born theory is applied to estimate the effective charges experienced by the ejected electrons at single, double and triple ionization of neon by fast electrons. The expansion coefficients appearing in the asymptotic expressions for total cross sections σn+ ∼ [an+ln(Ei/In+) + bn+]/Ei are determined by fitting to these expressions the experimental data for single and multiple ionization of neon. Coefficients an+ and bn+ are seen to decrease exponentially with increasing number of ejected electrons. Empirical formulae are found to describe this behaviour. Analytical expressions for coefficients an+ are derived within the Bethe–Born approximation for single, double and triple ionization of neon. The effective charges are determined by assuming that the derived analytical expressions for an+ can be reduced to the empirical formula. It is shown that, in order to obtain the reasonable values for the effective charges, coefficient bn+ should be taken into consideration. It is also revealed that the inclusion of interaction between the ejected electrons in the final state in calculation improves the results.

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Asymptotic behaviour of the total cross section for double ionization of helium-like ions by electrons

Cited by 11 publications

References 26 publications

On the behaviour of the (e, 3e) total cross section for helium at high and intermediate energies

On the behaviour of the (e, 3e) total cross section for helium at high and intermediate energies

Electron-induced double ionization of isolated water molecules

Screening effects and total cross sections of single, double and triple ionization of neon by fast electrons

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