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On the \(\text{p}{-}^{{2}}\text{H}_{{1}} \) and \(\text{p}{-}^{{16}}\text{O}\,\) elastic scattering

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Abstract

We solve the wave equation with the Manning–Rosen plus rank one separable non-local potential to obtain exact analytical solutions through ordinary differential equation method. The regular, Jost and physical state solutions are found to involve special functions of mathematics. As an application of the Jost function and Fredholm determinant, the bound-state energies and the scattering phase parameters for the \(\text{ p }-{}^{\mathrm {2}}\text{ H}_{\mathrm {1}} \) and \(\text{ p }-{}^{\mathrm {16}}\text{ O}_{\mathrm { }}\)systems are computed. The results achieved are in good agreement with the other methods published earlier.

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  1. Department of Physics, National Institute of Technology, Jamshedpur,  831 014, India

    P Sahoo, U Laha & B Khirali

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  1. P Sahoo
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  2. U Laha
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  3. B Khirali
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Sahoo, P., Laha, U. & Khirali, B. On the \(\text{p}{-}^{{2}}\text{H}_{{1}} \) and \(\text{p}{-}^{{16}}\text{O}\,\) elastic scattering. Pramana - J Phys 95, 209 (2021). https://doi.org/10.1007/s12043-021-02188-9

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  • DOI: https://doi.org/10.1007/s12043-021-02188-9

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