Double-electron capture by protons from helium

Biswas, Souvick; Bhadra, K.; Basu, Debabrata

doi:10.1103/physreva.15.1900

Cited by 15 publications

(6 citation statements)

References 24 publications

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“…Various approaches they have been employed in theoretical studies [29][30][31][32][33][34][35][36] of double capture cross sections by the impact of bare projectile ions (He 2+ , Li 3+ , B 5+ ) with helium atom at intermediate and high energies. The cross sections for the collision of proton-helium have been extensively studied as well [12,15,16,18,20,21,23,25,28]. Here all such cross sections obtained by the different methods have been confined to ground state capture only.…”

Section: Introductionmentioning

confidence: 99%

“…Their cross section-energy curve shows a peak in the low energy region and their results differ appreciably from the experimental observations with increase of energy. Biswas et al [21] have calculated the electron capture cross sections by protons from helium atoms by an approximate integral form of the closecoupling formalism considering three atomic states and indistinguishability of electrons. They have also presented the results for the differential cross sections in the forward direction.…”

Section: Introductionmentioning

confidence: 99%

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Double charge transfer cross sections in collision of protons with helium atom

Ghosh¹,

Dhara²,

Purkait³

et al. 2010

Indian J Phys

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Theoretical total cross sections for the double charge transfer in proton-helium collisions are analysed using the four-body boundary corrected continuum intermediate state approximation in the energy range of 30 to 500 keV. We have also obtained differential double capture cross sections as a functions of projectile scattering angle. The intermediate continuum state of each of the active electron has been taken into account in this formalism. Our calculated results are compared with the previous experimental and theoretical values. The agreement is very encouraging.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Double charge transfer cross sections in collision of protons with helium atom

Ghosh¹,

Dhara²,

Purkait³

et al. 2010

Indian J Phys

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“…This is, however, fortuitous. Namely, as correctly pointed out by Lin [5], the methods of Roy et al [4] and Biswas et al [6] are mutually equivalent from the onset; the latter being an integral equation version of the former-close coupling method, based upon the usual differential equations. The procedure of Ref.…”

Section: Introductionmentioning

confidence: 94%

“…Roy et al [4] found that the two-state theory provides total cross sections, which are, for example, at 200 keV, an order of magnitude larger than the measured values (see also more recent work of Lin [5]). An approximate integral equation version of the two-center atomic expansion method has been investigated by Biswas et al [6]. These authors obtained very good agreement with the experiments at energies ranging from 40 to 800 keV.…”

Section: Introductionmentioning

confidence: 95%

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Formation of H^-by double charge exchange in fast proton-helium collisions

Belkić

Mančev

1992

Phys. Scr.

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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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Double-electron capture by protons from helium

Cited by 15 publications

References 24 publications

Double charge transfer cross sections in collision of protons with helium atom

Double charge transfer cross sections in collision of protons with helium atom

Formation of H^-by double charge exchange in fast proton-helium collisions

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

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Double-electron capture by protons from helium

Cited by 15 publications

References 24 publications

Double charge transfer cross sections in collision of protons with helium atom

Double charge transfer cross sections in collision of protons with helium atom

Formation of H-by double charge exchange in fast proton-helium collisions

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

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Formation of H^-by double charge exchange in fast proton-helium collisions