Theoretical study of single and double charge transfer in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>-He collisions at kilo-electron-volt energies in a diabatic molecular representation

Chaudhuri, Chanchal; Sanyal, S.; Dastidar, T. K. Rai

doi:10.1103/physreva.52.1137

Cited by 16 publications

(43 citation statements)

References 26 publications

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“…We have already shown the absolute values of the (field-free) single-and double-charge transfer cross-sections for this system in [3] and [4], where it was shown how well they compare with the experimental values of Afrosimov et a/. [8].…”

Section: -Results and Discussionmentioning

confidence: 99%

“…(Note that the definitions of 91 and 92 as given in [3] have been interchanged here; this convention has been followed in both [4] and [5].) As in [3][4][5], minimal (single-zeta) Slater-type orbitals are used for the Is wave functions, the exponents being chosen to obtain variational minima of the eigenvalues at large R.…”

Section: -Theory and Calculational Detailsmentioning

confidence: 99%

“…Using (I') and the "laser approximation" [6], we have the matrix element (4) where I is the intensity (radiant energy flux) of the laser field. The ± signs in the exponent correspond to the cases where the state Ij) has one photon less (more) than the state Ik).…”

Section: -Theory and Calculational Detailsmentioning

confidence: 99%

“…for this system and used in close-coupled studies of single-and double-charge transfer reactions [3][4][5]. We are using the short, three-state version of this diabatic basis as used in [3] (with a minor change) in this work, which is aimed at finding the effect of a laser field on the charge transfer reactions in this collision process.…”

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confidence: 99%

“…We consider here a singlemode laser field, and for simplicity restrict ourselves up to a maximum of a single-photon exchange (emission/absorption) with the field. Furthermore, since we restrict ourselves to a three-state approximation, our results will be valid only under conditions where the basis truncation effects and the electron correlation effects are not very significant [4,5] for these (single and double) charge transfer reactions.…”

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confidence: 99%

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Charge transfer in He++-He collisions at keV energies in an intense laser field: A theoretical close-coupled study using a diabatic molecular representation

Chaudhuri

Dastidar

1998

Nouv Cim D

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We carry out a theoretical study of the effect of a strong laser field on charge transfer in collisions of doubly charged helium ions with helium at keV energies, using a close-coupled treatment with a diabatic molecular wave function basis in the semiclassical impact parameter approximation, Our results show significant effects of the laser intensity, wavelength and the orientation of the (linear) laser polarization on the charge transfer cross-sections, Our results also indicate the possibility of an experimental test for differentiating between the effects of the minimal coupling and the multipolar matter-radiation interactions on ion-atom collision processes, PACS 34,70 -Charge transfer, PACS 34,50.Rk -Laser-modified scattering and reactions, PACS 34,80,Qb -Laser-modified scattering, L -IntroductionA theoretical study was carried out some time ago in our group [1, 2] on the effect of an intense laser radiation on the charge transfer reaction in collisions of singly charged helium ions with neutral He atoms, An interesting effect was found on the dependence of the charge transfer cross-section on the laser intensity and wavelength, pointing to the possibility of laser control of the reaction, In this paper we present our findings on the effect of a laser field on the charge transfer reactions in a doubly charged ion-atom collision-specifically, the He++ -He system at keY energies, A diabatic molecular wave function representation has recently been developed (*) The authors of this paper have agreed to not receive the proofs for correction,

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Section: -Results and Discussionmentioning

confidence: 99%

Section: -Theory and Calculational Detailsmentioning

confidence: 99%

Section: -Theory and Calculational Detailsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Charge transfer in He++-He collisions at keV energies in an intense laser field: A theoretical close-coupled study using a diabatic molecular representation

Chaudhuri

Dastidar

1998

Nouv Cim D

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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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Theoretical study of single and double charge transfer inHe2+-He collisions at kilo-electron-volt energies in a diabatic molecular representation

Cited by 16 publications

References 26 publications

Charge transfer in He++-He collisions at keV energies in an intense laser field: A theoretical close-coupled study using a diabatic molecular representation

Charge transfer in He++-He collisions at keV energies in an intense laser field: A theoretical close-coupled study using a diabatic molecular representation

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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