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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
    Collection
    • Curtin Research Publications
    Type
    Journal Article
    Metadata
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    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.

    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
    URI
    http://hdl.handle.net/20.500.11937/4546
    DOI
    10.1063/1.4919674
    Department
    Department of Physics and Astronomy

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