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