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Rotational excitations in muonic atom scattering by molecular hydrogen

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Abstract

A computational scheme based on the infinite order sudden approximation (IOS) is proposed for treating molecular and screening effects in muonic atom scattering at low energies. With this scheme the differential (dσ/dΩ(ɛj← 0|θ) and the total σtot(ɛ) cross-sections of muonic atom scattering on molecules of hydrogen isotopes are calculated at energies ɛrot=ℏωI⩽ɛ⩽ɛvib= ℏω03BD;. The IOS permits a quantitative analysis of the dependence of the differential cross-sections on the scattering angle and on the rotational excitations, particularly the rotational rainbow effects. An attractive feature of this approach is also to include the energy and the angular dependencies in the “input” cross-sections describing the muonic atom scattering on each bare nucleus of the molecule. The calculated total cross-sections ωtot(ɛ) are in agreement with the data obtained earlier with the pseudopotential approach.

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Authors and Affiliations

  1. PNTPM, Université Libre de Bruxelles, CP 229, B-1050, Bruxelles, Belgium

    A. Boukour & Ch. Leclercq-Willain

  2. Joint Institute for Nuclear Research, Dubna, 141980, Moscow Region, Russia

    V.S. Melezhik

Authors
  1. A. Boukour
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  2. V.S. Melezhik
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  3. Ch. Leclercq-Willain
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Boukour, A., Melezhik, V. & Leclercq-Willain, C. Rotational excitations in muonic atom scattering by molecular hydrogen. Hyperfine Interactions 119, 153–159 (1999). https://doi.org/10.1023/A:1012683324816

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