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Dependence of the scattering length for hydrogen atoms on effective mass

  • Atomic and Molecular Collisions
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Abstract

The possibility that the non-adiabatic correction to the scattering length of a pair of hydrogen atoms interacting via the ground state molecular potential, X1Σg +, of H2 could be made by replacing the mass of each nucleus by a different effective mass is explored. The Born-Oppenheimer potential with adiabatic, relativistic and radiative corrections is used in calculations of the scattering lengths and the mass-dependent shifts of the rotationless vibrational levels with fixed and varying effective masses. The shifts are compared with established values and it is demonstrated that the semi-classical formula for the scattering length accounts well for the effect of changing the mass. A perturbing potential that is equivalent to a change in mass is derived and it is compared to a published local non-adiabatic potential.

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Authors and Affiliations

  1. Department of Computing Science, University of Glasgow, Glasgow, G12 8QQ, UK

    M. J. Jamieson

  2. Department of Chemistry, University of Hong Kong, Hong Kong, China

    A. S.C. Cheung

  3. Centre de Recherche sur les Ions, les Matériaux et la Photonique, UMR CEA-CNRS-ENSICAEN-Université de Caen Basse Normandie 6252, BP 5133, 14070, Caen, France

    H. Ouerdane

Authors
  1. M. J. Jamieson
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  2. A. S.C. Cheung
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  3. H. Ouerdane
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Correspondence to M. J. Jamieson.

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Jamieson, M., Cheung, A. & Ouerdane, H. Dependence of the scattering length for hydrogen atoms on effective mass. Eur. Phys. J. D 56, 181–188 (2010). https://doi.org/10.1140/epjd/e2009-00280-8

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  • DOI: https://doi.org/10.1140/epjd/e2009-00280-8

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