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    Configuration space method to calculate rearrangement matrix elements

    Access Status
    Fulltext not available
    Authors
    Utamuratov, R.
    Fursa, Dmitry
    Kadyrov, Alisher
    Bray, I.
    Date
    2019
    Type
    Journal Article
    
    Metadata
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    Citation
    Utamuratov, R. and Fursa, D. and Kadyrov, A. and Bray, I. 2019. Configuration space method to calculate rearrangement matrix elements. Computer Physics Communications. 239: pp. 64-71.
    Source Title
    Computer Physics Communications
    DOI
    10.1016/j.cpc.2019.01.010
    ISSN
    0010-4655
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/74379
    Collection
    • Curtin Research Publications
    Abstract

    A new method has been developed for calculating rearrangement matrix elements within the two-centre convergent close-coupling theory and applied to Ps formation in positron–atom collisions. The method utilises partial wave expansion of the Ps wavefunction that separates dependencies on coordinates of electron and positron. Resulting expressions contain slowly converging series which have been accelerated with use of the Euler–Wijngaarden transformation. The integrals in the method are free of the Coulomb singularity that appears in previously used momentum-space methods and therefore more straightforward to apply to complex and charged targets. The results are compared with the existing benchmark calculations for positron scattering on H and He+ targets.

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