Simple Configuration-Interaction Wave Functions. I. Two-Electron Ions: A Numerical Study

Silverman, Jeremiah N.; Platas, Oscar R.; Matsen, F. A.

doi:10.1063/1.1730930

Cited by 180 publications

(113 citation statements)

References 32 publications

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“…The vector R is the center of mass of the moving hydrogen subsystem at the end of reaction, ρ is the relative coordinate of electron 1 (transferred) in the hydrogen [described by the ground wave function ϕ 0 (ρ)], and r 2 is the relative coordinate of electron 2 in the He + subsystem (see details in [33,47] (2) we come to three-dimensional (ED) integrals for configuration interaction helium wave functions [49,50,52] and four-dimensional (4D) integrals for the function [51].…”

Section: Theory a General Formulasmentioning

confidence: 99%

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Transfer excitation reactions in fast proton-helium collisions

et al. 2014

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Continuing previous work, we have measured the projectile scattering-angle dependency for transfer excitation of fast protons (300-1200 keV/u) colliding with helium (p+He → H + He + * ).Our high-resolution fully differential data are accompanied by calculations, performed in the planewave first Born approximation and the eikonal wave Born approximation. Experimentally, we find a deep minimum in the differential cross section around 0.5 mrad. The comparison with our calculations shows that describing the scattering-angle dependence of transfer excitation in fast collisions requires us to go beyond the first Born approximation and in addition to use the initial state-wave function, which contains some degree of angular correlations. * Electronic address: schoeffler@atom.uni-frankfurt.de

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Section: Theory a General Formulasmentioning

confidence: 99%

“…We acknowledge financial support from the Deutsche Forschungsgemeinschaft (DFG), [49] trial helium wave function, the dash-dotted blue line is the SPM [50] wave function, the solid black line [51] and the dotted green line [52] practically coincide.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Transfer excitation reactions in fast proton-helium collisions

et al. 2014

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“…Three initial trial helium wave functions Φ He 0 are employed: a weakly correlated RoothaanHartree-Fock (RHF) [7] function, ε RHF 0 = −2.8617 a.u., a simple Silverman-Platas-Matsen (SPM) function [8] of the configuration interaction family, ε SPM 0 = −2.8952 a.u., and a strongly correlated function (CF) [9] which explicitly depends on the r 12 distance between the electrons in helium, ε …”

Section: Theorymentioning

confidence: 99%

Peculiarities of Matrix-Element Calculations with Few Coulomb Functions for Particles’ Scattering Processes

2018

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Abstract. Specific features of the matrix-element calculations in the momentum-space representation are discussed for the single ionization of the He atom by fast proton impact in the case when the Coulomb interactions of all three charged fragments in the final state are taken into account. It is shown that a "soft" smoothing of the Coulomb singularity does not affect the accuracy of the calculations in a certain region of the smoothing parameter values.

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“…Lastly, we have studied a simple configuration interaction wave function proposed by Silverman et al [20]:…”

Section: Theorymentioning

confidence: 99%

The role of projectile interactions in triply differential cross sections for excitation–ionization of helium

Dey

Roy

2011

Nuclear Instruments and Methods in Physics Research Section B:

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We report triply differential cross section (TDCS) for the simultaneous excitation-ionization of helium by electron impact for both coplanar and non-coplanar geometry. In the coplanar case, calculations have been performed for an incident energy of 500 eV and low ejection energies (3 eV and 10 eV), whereas in the noncoplanar case we have considered impact energies in the range 1240-4260 eV for a symmetric geometry. The present calculation is based on the eikonal approximation due to Glauber. We have incorporated the effect of post collision interaction in the Glauber approximation. A comparison is made of the present calculations with the results of other theoretical methods and recent experiments. The Glauber results are in reasonably good agreement with the experiment for small scattering angles.

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Simple Configuration-Interaction Wave Functions. I. Two-Electron Ions: A Numerical Study

Cited by 180 publications

References 32 publications

Transfer excitation reactions in fast proton-helium collisions

Transfer excitation reactions in fast proton-helium collisions

Peculiarities of Matrix-Element Calculations with Few Coulomb Functions for Particles’ Scattering Processes

The role of projectile interactions in triply differential cross sections for excitation–ionization of helium

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