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Hoffman, K.R.; Dababneh, M. S.; Hsieh, Y. F.; Kauppila, W. E.; Pol, V.; Smart, J. H.; Stein, T. S.

doi:10.1103/physreva.25.1393

Cited by 309 publications

(133 citation statements)

References 44 publications

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“…2 show a rise in the low energy limit, contrasting with other experimental data [11][12][13][14] and also with some theories [15][16][17][18][19]. The most probable reason for such underestimation of cross-sections in experiments is so-called angular resolution error.…”

Section: Methodscontrasting

confidence: 47%

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Positron Scattering on Atoms and Molecules in the Limit of Low Energy

et al. 2006

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Starting from experimental cross-sections for positron scattering in argon and nitrogen, we examine different energy ranges. In the zero-energy limit the cross-section falls with energy and can be described by modified effective range theory for polarization potential. In a few eV range the cross-sections are constant vs. energy. As far as it is possible to force the elastic scattering phase shifts in a way that both experimental differential cross-sections are reproduced and the total cross-section remains constant in energy, such a model lacks the physical justification. Only the virtualpositronium model, developed recently by Gribakin, reproduces a constant dependence of the total cross-section in a few eV energy range.

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Section: Methodscontrasting

confidence: 47%

“…2. Comparison of present cross-sections for positron scattering on nitrogen with other experiments [11][12][13][14] and theories [15][16][17][18][19]. For present data different experimental runs are shown by different symbols.…”

Section: Methodsmentioning

confidence: 93%

Positron Scattering on Atoms and Molecules in the Limit of Low Energy

et al. 2006

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“…This lack of discrimination in a transmission experiment results in the measurement of total cross sections that are lower than the actual values. The two experimental aspects leading to this error are the size of the exit aperture of the scattering cell and the use of a retarding potential grid, located behind the scattering cell, that the transmitted projectiles need to overcome [21]. To get the best indication of the quality of the present calculations, the error bars shown in Fig.…”

Section: ͑16͒mentioning

confidence: 99%

“…The experimental measurements of the total cross sections have been made by several groups. In particular, the positron impact energies ranging from 1 to 500 eV are covered by Hoffmann et al [21], from 1.5 to 301 eV by Zhou et al [22], from 14 to 600 eV by Charlton et al [23], from 2.15 to 20.84 eV by Charlton et al [24], and from 8 to 400 eV by Deuring et al [25]. To the best of our knowledge, no other theoretical calculations of total cross sections have been able to predict the stucture in this curve over as large a range of positron energies as in the present calculations.…”

Section: ͑16͒mentioning

confidence: 99%

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Scattering of low- to intermediate-energy positrons from molecular hydrogen

2004

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Using a complex model potential, we have calculated the total, integrated elastic, momentum transfer, absorption, and differential cross sections for positrons scattered from molecular hydrogen. The widely available software package GAUSSIAN is used to generate the radial electronic charge density of the molecule which is used to produce the interaction potentials. The quasifree absorption potential, previously developed and used for positron-atom scattering, is extended to positron scattering from molecular targets. It is shown that this model potential approach produces accurate results even into the low-energy regime.

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Low-energy electron scattering from a model H2 potential using finite elements in two dimensions

Weatherford

Dong

Saha

1997

Int. J. Quant. Chem.

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ABSTRACT:The Schrodinger equation for the scattering of an electron by a hydrogen molecule is solved by the finite element method, in spherical coordinates, using fifth-order Hermite interpolating polynomials. The computational method is quite similar to the w Ž . x work of Shertzer and Botero Phys. Rev. A 49, 3673 1994 , and references therein . However, to study large systems, an effective one-particle dynamical equation is defined, unlike the procedure of Shertzer and Botero. To illustrate the basic computational Ž . procedure, a model electron᎐H interaction potential static q exchange q polarization 2 is constructed and the K-matrix is calculated. A novel feature of the present method is the procedure for extracting the partial-wave amplitudes at a value of r, the size of which is fixed by the range of nonlocal potentials in the problem, and then propagating the scattering amplitudes out to an effective infinity where the converged K-matrix is determined.

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Total-cross-section measurements for positrons and electrons colliding withH2,N2

Cited by 309 publications

References 44 publications

Positron Scattering on Atoms and Molecules in the Limit of Low Energy

Positron Scattering on Atoms and Molecules in the Limit of Low Energy

Scattering of low- to intermediate-energy positrons from molecular hydrogen

Low-energy electron scattering from a model H2 potential using finite elements in two dimensions

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