Radiative double-electron capture in collisions of fast heavy ions with solid carbon targets

Yakhontov, V L; Amusia, M. Ya.

doi:10.1103/physreva.55.1952

Cited by 28 publications

(26 citation statements)

References 23 publications

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“…The RDEC process was investigated theoretically in [7][8][9][10]. In these works the calculations were performed within the nonrelativistic theory.…”

Section: Introductionmentioning

confidence: 99%

Radiative double-electron capture by bare nucleus with emission of one photon

2011

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Calculation of the cross-section for the process of double electron capture by bare nucleus with emission of a single photon is presented. The double electron capture is evaluated within the framework of Quantum Electrodynamics (QED). Line-Profile Approach (LPA) is employed. Since the radiative double electron capture is governed by the electron correlation, corrections to the interelectron interaction were calculated with high accuracy, partly to all orders of the perturbation theory.

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“…The RDEC process was investigated theoretically in [7][8][9][10]. In these works the calculations were performed within the nonrelativistic theory.…”

Section: Introductionmentioning

confidence: 99%

Radiative double-electron capture by bare nucleus with emission of one photon

2011

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“…v+p (s) is given by (19) where the replacement v → v + p should be made. The main difference between the distorted states (16) and (20) lies in the replacement of the 'averaged' momentum mv = v of the electrons with respect to the nucleus of the ion in the initial channel (this momentum enters (16)) by the 'instant' momenta of the electrons v + p 1 and v + p 2 .…”

Section: Impulse Approximationmentioning

confidence: 99%

“…First efforts to study this process were undertaken more than ten years ago [18]. Theoretically the radiative capture of two electrons with emission of a one photon was addressed in [19] and [20] where this process was regarded as the radiative recombination of two free electrons which, in the initial channel, move with respect to the ion with equal velocities.…”

Section: Introductionmentioning

confidence: 99%

Two-electron capture with emission of one photon in fast collisions between a highly charged ion and a light atom

Voitkiv

Najjari

Toshima

et al. 2006

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

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We consider the electron capture process in fast non-relativistic ion-atom collisions in which the transfer of two electrons from the atom to the ion is accompanied by emission of one photon with the mean energy ω (2) k about two times larger than that ω(1) k characteristic for the radiative capture of one electron. Such a photon can appear both due to the uncorrelated capture process, in which two electrons are transferred to the ion independently via the Coulomb and radiative capture channels, and due to the correlated two-electron capture, where the electron-electron interaction plays the crucial role. The uncorrelated capture produces the photon spectrum which has a maximum at ω (1) k and gives the main contribution to the two-electron capture. The correlated capture mechanism leads to very small capture cross sections but produces the photon spectrum having a maximum at ∼ ω (2) k which in principle enables to separate this process in experiment.

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“…Neglecting the internal motion of the electrons in the light atom we consider the capture of two continuum electrons with equal linear momenta p 1 = p 2 = p [8]. The process is characterized by the kinetic energy per nucleon E N (MeV/u).…”

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confidence: 99%

“…For that we consider the double electron capture followed by the emission of a single photon in the high energy limit. Since the first attempts to detect this process in collisions of a light atom with a heavy nucleus [5] a number of experimental [6,7] and theoretical [8,9,10] papers were devoted to this reaction.Neglecting the internal motion of the electrons in the light atom we consider the capture of two continuum electrons with equal linear momenta p 1 = 1 …”

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confidence: 99%

Triple-coalescence singularity in a dynamical atomic process

Drukarev

Михайлов

et al. 2008

Jetp Lett.

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We show that the high energy limit for amplitude of the double electron capture to the bound state of the Coulomb field of a nucleus with emission of a single photon is determined by behavior of the wave function in the vicinity of the singular triple coalescence point. PCAC: 31.25.Eb; It is well known that the solution Ψ(r 1 , r 2 ) of the Schrödinger equation for a two-electron system in the Coulomb field of infinitely heavy point nucleus is singular at the triple coalescence point r 1 = r 2 = 0 [1, 2, 3, 4]. The wave function can be presented as a generalized power series containing logarithmic terms. The behavior of Ψ(r 1 , r 2 ) near this point is not very important in calculations of the binding energy since the corresponding phase volume is small. On the contrary it becomes crucial for calculation of the local energy E(r 1 , r 2 ) = HΨ(r 1 , r 2 )/Ψ(r 1 , r 2 ) [4]. However the triple coalescence point did not manifest itself in a dynamical process until now.In this letter we present an observable effect for the first time in which the interesting behavior of the two electron wave function Ψ(r 1 , r 2 ) near the point r 1 = r 2 = 0 (as well as that near the double coalescence points r 1 = 0 and r 2 = 0) plays an important role. For that we consider the double electron capture followed by the emission of a single photon in the high energy limit. Since the first attempts to detect this process in collisions of a light atom with a heavy nucleus [5] a number of experimental [6,7] and theoretical [8,9,10] papers were devoted to this reaction.Neglecting the internal motion of the electrons in the light atom we consider the capture of two continuum electrons with equal linear momenta p 1 = 1

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Radiative double-electron capture in collisions of fast heavy ions with solid carbon targets

Cited by 28 publications

References 23 publications

Radiative double-electron capture by bare nucleus with emission of one photon

Radiative double-electron capture by bare nucleus with emission of one photon

Two-electron capture with emission of one photon in fast collisions between a highly charged ion and a light atom

Triple-coalescence singularity in a dynamical atomic process

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