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Lazur, V. Yu.; Khoma, M. V.; Janev, R.K.

doi:10.1103/physreva.73.032723

Cited by 10 publications

(10 citation statements)

References 27 publications

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“…Well-developed asymptotic (by large interatomic distances) methods of the theory of ion-atom collisions in our case do not work, because here, on the contrary, small interatomic distances are important [10,11].…”

Section: Introductionmentioning

confidence: 90%

Taking the Сoulomb effects into account in the reactions of one-electron charge exchange

Lazur¹

2019

Semicond. phys. quantum electron. optoelectron

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Within the framework of a single mathematical approach based on the first iteration of the Dodd-Greider equations, direct and two-step mechanisms of electron capture have been described, and their correlation with angular distributions of reaction products have been ascertained. The purpose of this modification of the Dodd-Greider integral equations for the quantum mechanical operator of three-particle scattering with rearrangement is taking into account the Coulomb asymptotic behavior of wave functions in the problem of inelastic scattering with redistribution. On this basis, the theory of the reaction of single-electron charge exchange was constructed when collision of the hydrogen-like atom with a positively charged ion is performed with taking into account the effects of the multiple Coulomb scattering of electron by ion target residue. In particular, the amplitude of the reaction is distinguished as the first iterative term for solving the Dodd-Greider equations for the operator of three bodies, and the short-acting interaction that causes the electron transitions is taken into account in the distorting potential. It has shown that in the one-fold scattering approximation, this method leads to the so-called first Coulomb-Born approximation, where asymptotic behavior of particles in the input and output channels of the reaction is described by two-particle Coulomb wave functions. A more detailed study of the reaction of the resonance charge transfer between proton and hydrogen atom showed that without a correct inclusion of the Coulomb interaction into the wave function of the final state, to recreate Thomas' peak in the angular distributions of the products of this reaction cannot be. The proposed method provides a good agreement with the experimental data of both complete and differential cross-sections due to advantages of this method, in particular, rather full consideration of the interaction after the collision and rapid convergence of the series of the Dodd-Greider perturbation theory.

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Section: Introductionmentioning

confidence: 90%

Taking the Сoulomb effects into account in the reactions of one-electron charge exchange

Lazur¹

2019

Semicond. phys. quantum electron. optoelectron

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“…Привабливою стороною формалізму спотворених хвиль неперервного спектру є акуратне врахування кулонівських ефектів у початковому та кінцевому каналах реакцій з перерозподілом [4][5][6][7][8][9]. Зазначимо також, що детально розвинуті асимптотичні (за великими прицільними параметрами) методи теорії іон-атомних зіткнень [10][11][12][13][14][15][16][17] незастосовні для обчислення перерізів реакції (1), так як в цьому випадку, навпаки, суттєві малі прицільні параметри.…”

Section: вступunclassified

Schrodinger's Formalism of Distorted-Wave Method in the Problem of Single-Electron Capture With Simultaneous Ionization

Алексій¹,

Лазур²,

Khoma³

2014

Sci.Herald.Uzh.Univ.Ser.Phys

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Розроблено шредінгерівський формалізм методу спотворених хвиль неперервного спектру для аналізу та розрахунку процесу одноелектронного захоплення з одночасною іонізацією у високоенергетичних іон-атомних зіткненнях. На основі CDW-методу з коректним врахуванням кулонівських асимптотичних умов в обох каналах реакції, отримано аналітичний вираз для амплітуди процесу захоплення з іонізацією, який містить два множники. Один з них описує процес одноелектронного захоплення, а іншийзв'язано-вільний перехід в іоні-залишку мішені. Результати розрахунків перерізів перезарядки з одночасною іонізацією у зіткненнях атома He з протоном добре узгоджуються з наявними експериментальними даними.Ключові слова: одноелектронна перезарядка, іонізація, спотворена хвиля, міжелектронна взаємодія, амплітуда.

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“…The asymptotic (at large internuclear distance) methods of atomic collision theory [4,5,[10][11][12][13] developed in detail do not work in our case (1), since here, in contrast, small interatomic distances are significant.…”

Section: Introductionmentioning

confidence: 99%

“…Due to the rapid development of computing technology in the recent twenty years, the increasing interest of physics-theorists is paying attention to atomic collisions, in particular, one-and two-electron processes in the field of intermediate and high energies [1][2][3][4][5][6][7]. The choice of two-electron processes as a research object is also conditioned by the importance of multidisciplinary applications of high-energy ion-atom collisions, ranging from fusion to medical accelerators for radiotherapy [8,9].…”

Section: Introductionmentioning

confidence: 99%

Four-particle formalism of the CDW method in two-electron charge-exchange reactions

Lazur¹,

Aleksiy²,

Myhalyna³

et al. 2020

SPQEO

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The progress in solution of problems involving non-relativistic fast ion-atom collisions with two actively participating electrons has been reviewed. Leading quantum mechanical methods have been analyzed in the framework of four-body scattering theory. A simple formalism has been described on the basis of the Dodd-Greider integral equations for a four-particle system, which were used to analyze the two-electron charge-exchange process at medium and high velocities of relative motion of particles. An important feature of the developed four-particle continuum distorted waves (CDW) method is the consistent preservation of the proper asymptotic limits of the wave functions of a colliding system in the entrance and exit channels of the reaction, which takes into account the long-range nature of Coulomb interactions. The amplitude of the two-electron charge-exchange reaction has been calculated in the approximation of the mechanism of simultaneous capture by an incident particle of two target electrons. The calculations using the presented theory have been made on the example of a two-electron capture reaction in high-energy He 2+ +He collisions.

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Asymptotic properties of the three-Coulomb-center problemeZ1ZZ

Cited by 10 publications

References 27 publications

Taking the Сoulomb effects into account in the reactions of one-electron charge exchange

Taking the Сoulomb effects into account in the reactions of one-electron charge exchange

Schrodinger's Formalism of Distorted-Wave Method in the Problem of Single-Electron Capture With Simultaneous Ionization

Four-particle formalism of the CDW method in two-electron charge-exchange reactions

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