Double ionization of beryllium-like ions by high-energy photons

Nefiodov, A. V.; Plunien, G.

doi:10.1016/j.physleta.2006.10.067

Cited by 4 publications

(10 citation statements)

References 30 publications

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“…As zeroth-order approximation, the Coulomb wavefunctions are employed. In [12], the singlet term 1 S is described by the wavefunction of the pure 2s 2 -configuration. However, in addition, there is a 2p 2 -configuration characterized by the total angular momentum L = 0 and the spin S = 0, which is also related to this term.…”

Section: Amplitude For Double L-shell Photoionizationmentioning

confidence: 99%

“…However, we shall be interested in the high-energy domain, which is still not investigated experimentally. There are only two theoretical papers [2,12] devoted to the double L-shell photoionization within the non-relativistic asymptotic energy limit restricted by I ω m, where m is the electron mass (h = 1, c = 1). Except for pure academical interest, the highenergy predictions for the double-to-single ionization crosssection ratio R = σ 2+ /σ + are required for a two-parametrical shape function [13], which fits the cross section σ 2+ both near the ionization threshold and far from it [6].…”

Section: Introductionmentioning

confidence: 99%

“…For beryllium, the value R = 0.37% has been obtained. In [12], the ionization process is considered within the framework of the non-relativistic perturbation theory with respect to the reversed nuclear charge 1/Z. The predicted value for the double-to-single ionization ratio in the Be atom turned out to be as twice as low, namely, R = 0.2%.…”

Section: Introductionmentioning

confidence: 99%

“…The predicted value for the double-to-single ionization ratio in the Be atom turned out to be as twice as low, namely, R = 0.2%. In this paper, we refine the calculations made in [12] by using a more adequate two-electron wavefunction for the valence electrons. We do not take into account the interaction with K-shell electrons.…”

Section: Introductionmentioning

confidence: 99%

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Direct double L-shell ionization of a Be-like ion by a high-energy photon

Михайлов

Nefiodov

Plunien

2011

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

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We have evaluated the cross sections for the double L-shell ionization of a Be-like ion by a single high-energy photon. The evaluation is performed within the framework of non-relativistic perturbation theory with respect to the interelectron interaction. The correct linear combination of the 2s2- and 2p2-configurations is used as zeroth approximation for the wavefunction of the initial state. The interelectron interaction is taken into account between the valence electrons, while the electrons of the inner K-shell are considered as spectators. The scaling formula is obtained for the ratio of double-to-single ionization cross sections. As a by-product of our approach, we have also derived the analytical expression for the Auger width of the lowest doubly excited state of a He-like multicharged ion.

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Section: Amplitude For Double L-shell Photoionizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Direct double L-shell ionization of a Be-like ion by a high-energy photon

Михайлов

Nefiodov

Plunien

2011

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

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“…Since decades the fundamental processes of excitation and ionization of few-electron atomic ions have been persistently investigated within the framework of different sophisticated approaches, due to necessity of the accurate account of all interactions in the colliding system (see, for example, the works [1,2,3,4,5,6,7] and references there). The deduction of the universal scaling behavior for differential and total cross sections is of particular importance, because it allows one to establish generic features of various processes for a wide family of targets [8,9,10,11]. In this Letter, we study the excitation and photoionization of light multicharged ions, which proceed with participation of the ns electrons.…”

mentioning

confidence: 99%

Excitation and photoionization processes involving the bound ns electrons

Nefiodov

Plunien

2008

Physics Letters A

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We have considered the processes of excitation and ionization of light multicharged ions by impact of high-energy particles, which proceed with participation of the ns electrons. The screening corrections to the energy levels and photoionization cross sections are evaluated analytically within the framework of the non-relativistic perturbation theory with respect to the electron-electron interaction. The universal scalings for the excitation and ionization cross sections are studied for arbitrary principal quantum numbers n. 1. Since decades the fundamental processes of excitation and ionization of few-electron atomic ions have been persistently investigated within the framework of different sophisticated approaches, due to necessity of the accurate account of all interactions in the colliding system (see, for example, the works [1,2,3,4,5,6,7] and references there). The deduction of the universal scaling behavior for differential and total cross sections is of particular importance, because it allows one to establish generic features of various processes for a wide family of targets [8,9,10,11]. In this Letter, we study the excitation and photoionization of light multicharged ions, which proceed with participation of the ns electrons. As a method, the consistent non-relativistic perturbation theory in the Furry picture is employed [12]. The calculations are performed analytically, taking into account the one-photon exchange diagrams.The characteristic quantities for the theoretical description of collision processes on multicharged ions are the Coulomb potential I = η 2 /(2m) for single ionization from the K shell, the average momentum η = mαZ of the K-shell electron, the Bohr radius a 0 = 1/(mα), the electron mass m, and the fine-structure constant α ( = 1, c = 1). The parameter αZ is supposed to be sufficiently small (αZ ≪ 1), although we assume nuclear charges with Z ≫ 1. 2.In the non-relativistic theory, the stationary states of hydrogen-like atomic system are characterized by the principal quantum number n, the value of angular momentum l, and projection of the orbital angular momentum m [13]. The corresponding eigenfunctions, which are solutions of the Schrödinger equation for a bound electron in the external Coulomb field of a point nucleus, read [14,15] Here η n = η/n and Y lm are the spherical harmonics. The wave functions are normalized in the standard fashionAccording to works [16,17,18], it is convenient to represent the associated Laguerre polynomials 2 in Eq. (2) via the contour integralwhere the closed path encircles counter-clockwise the origin t = 0, but not the point t = 1.In the following, we shall focus on the bound ns states (l = 0). In the momentum representation, the corresponding eigenfunctions (1) can be written asIn Eq. (8), after taking the derivative with respect to λ, one should set λ = y and then perform the contour integration enclosing the pole at y = η n .3. Let us consider a helium-like ion in the pure ns 2 ( 1 S) state. Within the framework of nonrelativistic perturba...

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Simultaneous Emission of Multiple Electrons from Atoms and Molecules Using Synchrotron Radiation

Wehlitz

2010

Advances in Atomic, Molecular, and Optical Physics

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Double ionization of beryllium-like ions by high-energy photons

Cited by 4 publications

References 30 publications

Direct double L-shell ionization of a Be-like ion by a high-energy photon

Direct double L-shell ionization of a Be-like ion by a high-energy photon

Excitation and photoionization processes involving the bound ns electrons

Simultaneous Emission of Multiple Electrons from Atoms and Molecules Using Synchrotron Radiation

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