Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential
arXiv:2504.04627 · doi:10.1016/j.jspc.2025.100075
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.
11 pages, 2 figures