Influence of electron correlations on double-capture process in proton–helium collisions

Ghavaminia, Hoda; Ghanbari-Adivi, Ebrahim

doi:10.1088/1674-1056/24/7/073401

Cited by 7 publications

(3 citation statements)

References 33 publications

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“…Equation (20). As a result, the 𝑉𝑉 𝐻𝐻 (𝑟𝑟, 𝑝𝑝, 𝛼𝛼) potential contributes in the low-to-medium energy region and is negligible in the high-energy region.…”

Section: Carbon (C 5+ ) -Hydrogen (H) Collision Cross Sectionsmentioning

confidence: 99%

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Cross Sections for Electron Stripping, Electron Capture, and System Breakdown of C5+ and Li2+ Ions with Atomic Hydrogen

Al Atawneh

2024

Preprint

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For many disciplines of science, all conceivable collisional cross sections and reactions must be precisely known. Although the recent decades were a trial of large-scale research to give these data, many essential atomic and molecular cross section data still missing, and the reliability of the existing cross sections has to be validated. In this paper, we present electron stripping, electron capture, and system breakdown cross sections in carbon (C5+) ions and lithium (Li2+) ions collisions with atomic hydrogen based on the Monte Carlo models of classical and quasi-classical trajectories. According to our expectation, the QCTMC results show higher results in comparison to standard CTMC data, emphasizing the role of Heisenberg correction constraint, especially in the low energy regime. On the Other hand, at high energy, the Heisenberg correction term has less influence as a projectile momentum increase. We present the total cross sections of electron stripping, electron capture, and system breakdown in C5+ ions and Li2+ ions collisions with atomic hydrogen in the impact energy range from 10 keV to 160 keV, which is of interest in astrophysical plasmas, atmospheric sciences, plasma laboratories, and fusion research.

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“…Equation (20). As a result, the 𝑉𝑉 𝐻𝐻 (𝑟𝑟, 𝑝𝑝, 𝛼𝛼) potential contributes in the low-to-medium energy region and is negligible in the high-energy region.…”

Section: Carbon (C 5+ ) -Hydrogen (H) Collision Cross Sectionsmentioning

confidence: 99%

“…As is well-known, classical descriptions of collision processes work extremely well [5,7,19,20]. In this model, the H atom is represented by two particles representing its ionic core of H as well as one active electron; all particles can be described by their masses and charges [15,17].…”

Section: The Ctmc Modelsmentioning

confidence: 99%

Cross Sections for Electron Stripping, Electron Capture, and System Breakdown of C5+ and Li2+ Ions with Atomic Hydrogen

Al Atawneh

2024

Preprint

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“…where ν i, f are given in (2.27). Then the resulting prior and post forms of the transition amplitudes in the CB1-4B method [33,34,39,40] are summarized as:…”

Section: Symmetric First-order Theories: Four-body Boundary-correctedmentioning

confidence: 99%

Double charge exchange in ion–atom collisions using distorted wave theories with two-electron continuum intermediate states in one or both scattering channels

Belkić

2018

J Math Chem

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A general quantum-mechanical formalism is reviewed for double electron capture from heliumlike atomic systems by fast nuclei. The development is carried out with and without the distorted wave theory by fulfilling the correct boundary conditions. These refer to the required asymptotic behaviors of the total scattering wave functions and their appropriate connections to the perturbation interactions that produce the transitions from the initial to the final states of the system. In this general formulation any choice is allowed for the pairs of the distorting potentials and the related distorted wave functions as long as the correct boundary conditions are satisfied. This is the case with the four-body versions of several most frequently used methods (continuum distorted wave: CDW-4B, boundary-corrected continuum intermediate state: BCIS-4B, Born distorted wave: BDW-4B, continuum distorted wave initial/final state: CDW-EIS/EFS-4B, and the boundary-corrected first Born: CB1-4B). A comparative analysis of these methods makes in evidence both their similarities and differences. For example, the most illustrative is the juxtaposition of the post BDW-4B and CDW-EIS-4B methods. They share the same distorting potential in the exit channel. The only difference is in the coordinates from the Coulomb logarithmic phases in the initial distorted wave functions. This difference is completely negligible in the asymptotic scattering regions. Yet, for e.g. double electron capture from helium by alpha particles, the total cross sections from these two methods differ by 1-3 orders of magnitudes. The BDW-4B method is in agreement with experimental data at high impact energies. In sharp contrast, within its validity domain of impact energies, the CDW-EIS-4B method underestimates the measured data by orders of magnitude. This shows that what matters is not solely the correct asymptotes of distorted wave functions, but rather how they affect the contributions to the integrals over the entire regions in the T-matrix elements for total cross sections. Such insights help understand the assessment of the overall validity and relative performance of various methods, and can provide a versa-B Dževad Belkić

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Total cross sections in five methods for two-electron capture by alpha particles from helium: CDW-4B, BDW-4B, BCIS-4B, CDW-EIS-4B and CB1-4B

Belkić

2020

J Math Chem

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This work is on quantum-mechanical four-body distorted wave theories for double electron capture in collisions between fast heavy multiply charged ions and heliumlike atomic systems. The five widely used distorted wave methods of the first-and second-order in the perturbation series expansions are compared with the available experimental data on α-He collisions. These are the four-body boundary-corrected first Born (CB1-4B), the boundary-corrected continuum intermediate state (BCIS-4B), the Born distorted wave (BDW-4B), the continuum distorted wave (CDW-4B) and the continuum distorted wave-eikonal initial state (CDW-EIS-4B) methods. We address the complete breakdown of the CDW-EIS-4B method at all impact energies within its expected validity domain (100-10000 keV). Further, the relative performance is evaluated of the second-order theories with and without the eikonalization of the two-electron Coulomb wavefunctions for double continuum intermediate states. Finally, at all the considered intermediate and high energies, the practical aspects of the studied five methods are investigated by protracted evaluations of the convergence rates of total cross sections as a function of the number of quadrature points per axis in numerical computations of multi-dimensional (3D-5D) integrals. Keywords Double charge exchange • Distorted wave methods • Rearranging collisions • Two-electron continuum states B Dževad Belkić

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Influence of electron correlations on double-capture process in proton–helium collisions

Cited by 7 publications

References 33 publications

Cross Sections for Electron Stripping, Electron Capture, and System Breakdown of C5+ and Li2+ Ions with Atomic Hydrogen

Cross Sections for Electron Stripping, Electron Capture, and System Breakdown of C5+ and Li2+ Ions with Atomic Hydrogen

Double charge exchange in ion–atom collisions using distorted wave theories with two-electron continuum intermediate states in one or both scattering channels

Total cross sections in five methods for two-electron capture by alpha particles from helium: CDW-4B, BDW-4B, BCIS-4B, CDW-EIS-4B and CB1-4B

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