Double Ionization of Lithiumlike Ions by Compton Scattering of High-Energy Photons

Михайлов, А. И.; Nefiodov, A. V.; Plunien, G.

doi:10.1103/physrevlett.97.233003

Cited by 6 publications

(4 citation statements)

References 25 publications

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“…The heliumlike ions characterized by the small parameters a Z « 1 and 1/Z < 1 are considered as a target. The universal scalings (30) and (37) can be also used for more complicated atomic systems, in particular, for stable multicharged ions with more than two electrons [19]. k, = vW ) 2lO -y) + 2 + l)2y,…”

Section: Energy Distribution and Total Cross Sectionmentioning

confidence: 99%

Analytical evaluation of cross sections for double ionization of heliumlike ions by high-energy-photon scattering

Михайлов

Nefiodov

2015

Phys. Rev. A

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Double A--shell ionization of two-electron ions in Compton scattering of high-energy photons is investigated. The problem is treated analytically within the framework of nonrelativistic perturbation theory with respect to the interelectron interaction, using the Coulomb Green's and wave functions. The energy distribution of ejected electrons and the double-to-single cross section ratio are cast in the form of the universal scalings. The approximations made in previous theoretical works are discussed. Atomic targets are assumed to be characterized by moderate values of the nuclear charge number Z.

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Section: Energy Distribution and Total Cross Sectionmentioning

confidence: 99%

Analytical evaluation of cross sections for double ionization of heliumlike ions by high-energy-photon scattering

Михайлов

Nefiodov

2015

Phys. Rev. A

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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.…”

Section: Introductionmentioning

confidence: 99%

“…As another example, we shall also evaluate the correlation correction ∆E (1) for helium-like ion in the 1sns ( 1,3 S) states. The energy levels E can be again presented as an expansion (10).…”

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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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“…In the asymptotic high-energy limit, the ratio R 2+ C (Li) reads [23] R 2+ C (Li) = 0.147 Z −2 . (20) Here the direct and sequential channels for the double ionization of three-electron ion are taken into account.…”

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confidence: 99%