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    New approach to folding with the Coulomb wave function

    Access Status
    Fulltext not available
    Authors
    Blokhintsev, L.
    Kadyrov, Alisher
    Mukhamedzhanov, A.
    Savin, D.
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Blokhintsev, L. and Kadyrov, A. and Mukhamedzhanov, A. and Savin, D. 2015. New approach to folding with the Coulomb wave function. Journal of Mathematical Physics. 56 (5): Article ID 052102.
    Source Title
    Journal of Mathematical Physics
    DOI
    10.1063/1.4919674
    ISSN
    0022-2488
    School
    Department of Physics and Astronomy
    URI
    http://hdl.handle.net/20.500.11937/4546
    Collection
    • Curtin Research Publications
    Abstract

    © 2015 AIP Publishing LLC. Due to the long-range character of the Coulomb interaction theoretical description of low-energy nuclear reactions with charged particles still remains a formidable task. One way of dealing with the problem in an integral-equation approach is to employ a screened Coulomb potential. A general approach without screening requires folding of kernels of the integral equations with the Coulomb wave. A new method of folding a function with the Coulomb partial waves is presented. The partial-wave Coulomb function both in the configuration and momentum representations is written in the form of separable series. Each term of the series is represented as a product of a factor depending only on the Coulomb parameter and a function depending on the spatial variable in the configuration space and the momentum variable if the momentum representation is used. Using a trial function, the method is demonstrated to be efficient and reliable.

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