<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>formation in proton-helium collisions

Roy, Kamalika; Mukherjee, Soumava; Sural, D. P.

doi:10.1103/physreva.13.987

Cited by 13 publications

(6 citation statements)

References 14 publications

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“…Above 100 keV energy, our results agree with the results of Belkic and Mancev [25]. The other two theoretical results due to Roy et al [20] and Lin [41] by atomic state [37] at all incident projectile energies. From these graphs we find that the maximum contribution of differential cross sections comes from low scattering angle.…”

Section: Resultssupporting

confidence: 94%

“…In Figure 1, we have shown our calculated results for the formation of H -as a result of double electron capture by the impact of protons from helium atom for the incident energy 30-500 keV, as a function of incident proton energy. We have also plotted the experimental findings [15][16][17][18] and the previous theoretical results [20,25,41] cm sr W ± / / as a function of the scattering angle q º q lab (mrad) at incident energy E lab = 40 keV for the double charge exchange reaction H + + He(1s 2 ) ® H -(1s 2 ) + He 2+ . The numbers in brackets denote multiplicative powers of ten.…”

Section: Resultsmentioning

confidence: 98%

“…In Figure 1, we have shown the variation of double electron capture [25]); dotted : three-state two-center atomic expansion method (Lin [41]); dashed-dot : atomic state expansion method (Roy et al [20]). Experiments : , results of Toburen and Nakai [18]; , the results of Fogel et al [15]; , results of Schryber [17];…”

Section: Resultsmentioning

confidence: 99%

“…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%

“…These theoretical results are greater than the experimental values by two orders of magnitudes. Roy et al [20] investigated the process of formation of antiproton as a result of double electron capture using the atomic-state expansion method. 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.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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: Resultssupporting

confidence: 94%

Section: Resultsmentioning

confidence: 98%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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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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H−formation in proton-helium collisions

Cited by 13 publications

References 14 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

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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