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arXiv · 2504.04627

Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential

Ustin M Yanikov·Vasily A Kulikov·Andrey M Shirokov
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Abstract

Considering the problem of scattering of charged particles, we introduce a new approach of taking the Coulomb interaction into account within the HORSE formalism. Compared to the conventional HORSE approach for uncharged particles, we add a diagonal Coulomb term to} the three-term recurrent relation for expansion coefficients in the asymptotic region. The method simplifies calculations and demonstrates a good agreement with numerical solution.

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Ustin M Yanikov, Vasily A Kulikov, Andrey M Shirokov. 2025-04-06. Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential. https://doi.org/10.1016/j.jspc.2025.100075

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