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Transport cross sections based on a screened interaction potential: Comparison of classical and quantum-mechanical results

Abstract : Standard classical and quantum-mechanical methods are used to characterize the momentum-transfer cross section needed in energy-loss calculations and simulations for heavy, swift charges moving in an electron gas. By applying a well-known, finite-range screened Coulombic potential energy to model the two-body collision, the quantitative applicability range of the classical cross section is investigated as a function of charge (Z), screening length (R), and scattering relative velocity (v). The a posteriori condition (Z/R)/v2<1, as an upper bound for heavy charges, is deduced for this applicability range from the comparative study performed.
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https://hal-utt.archives-ouvertes.fr/hal-02860643
Contributor : Jean-Baptiste Vu Van <>
Submitted on : Monday, June 8, 2020 - 2:43:33 PM
Last modification on : Monday, June 8, 2020 - 2:43:35 PM

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Rémi Vincent, Joseba Iñaki Juaristi, István Nagy. Transport cross sections based on a screened interaction potential: Comparison of classical and quantum-mechanical results. Physical Review A, American Physical Society, 2005, 71 (6), ⟨10.1103/PhysRevA.71.062902⟩. ⟨hal-02860643⟩

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