Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem

Bray, Igor; Stelbovics, A. T.

doi:10.1103/physrevlett.69.53

Cited by 172 publications

(72 citation statements)

References 17 publications

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“…Larger basis expansions are needed to obtain convergent spin asymmetries at all angles and energies to better than 10%. Achieving significantly better convergence for the amplitudes, say to a 1% level, is likely to require a large scaling up of our present calculations based on our experience [11] with the Poet model which required 30 l = 0 states. Extrapolating to our current models, it is reasonable to suggest that a 200CC calculation could be required, which is well within the capacity of modern supercomputers.…”

Section: Resultsmentioning

confidence: 99%

Convergent close-coupling calculations of electron-hydrogen scattering

1992

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The convergence of the close-coupling formalism is studied by expanding the target states in an orthogonal L Laguerre basis. The theory is without approximation, and convergence is established by simply increasing the basis size. We present convergent elastic, 2s, and 2p differential cross sections, spin asymmetries, and angular-correlation parameters for the 2p excitation at 35, 54.4, and 100 eV. Integrated and total cross sections as well as T-matrix elements for the first five partial waves are also given.

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Section: Resultsmentioning

confidence: 99%

Convergent close-coupling calculations of electron-hydrogen scattering

1992

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“…Thus, we have very good reasons to believe in the accuracy of the CCC method in evaluating integrated cross sections for all discrete transitions at all energies. The key issue is obtaining convergence for the transitions of interest with increasing number of expansion states [14]. Generally, the smaller the cross section, the larger the calculation necessary to obtain an accurate result.…”

Section: Convergent Close-coupling For Electron-impact Collisionsmentioning

confidence: 99%

Database for inelastic collisions of sodium atoms with electrons, protons, and multiply charged ions

Igenbergs¹,

Schweinzer²,

Bray³

et al. 2008

Atomic Data and Nuclear Data Tables

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“…A larger pseudostate basis led to a better description of the effect of the continuum ionization channel, and resolved this problem [6]. Using a model problem, Bray and Stelbovics [7,8] demonstrated that with a sufficiently large basis of eigenstates and positive-energy pseudostates convergent total cross sections could be obtained for all discrete and ionization processes at all energies, without unphysical resonance structures. Both this method, convergent close-coupling (CCC) [9,10], and the intermediate energy R-matrix (IERM) method of Burke, Scott, Sholtz and coworkers [11][12][13] were then able to accurately calculate integrated scattering cross sections (ICS) for e-H collisions over a wide range of energies.…”

Section: Introductionmentioning

confidence: 99%

A complete numerical approach to electron–hydrogen collisions

Bartlett

2006

J. Phys. B: At. Mol. Opt. Phys.

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This tutorial presents an extensive computational study of electron-impact scattering and ionization of atomic hydrogen and hydrogenic ions, through the solution of the non-relativistic Schrödinger equation in coordinate space using propagating exterior complex scaling (PECS). It details the complete numerical and computational development of the PECS method, which enables highly computationally-efficient solution of these collision systems. Benchmark results are presented for a complete range of electron-hydrogen collisions, including discrete elastic and inelastic scattering both below and above the ionization threshold energy, very low-energy ionizing collisions through to moderately high-energy ionizing collisions, ground-state and excited-state targets and charged hydrogenic targets with Z 4. Total ionization cross sections through to fully differential cross sections, both in-plane and out-ofplane, are given and are found to be in excellent accord with other state-of-theart methods and measurements, where available. We also review our recent confirmation (Bartlett and Stelbovics 2004 Phys. Rev. Lett. 93 233201) of the Wannier and related threshold laws for e-H collisions.

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Explicit demonstration of the convergence of the close-coupling method for a Coulomb three-body problem

Abstract: Convergence as a function of the number of states is studied and demonstrated for the Poet-

Cited by 172 publications

References 17 publications

Convergent close-coupling calculations of electron-hydrogen scattering

Convergent close-coupling calculations of electron-hydrogen scattering

Database for inelastic collisions of sodium atoms with electrons, protons, and multiply charged ions

A complete numerical approach to electron–hydrogen collisions

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