Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914082031927296 |
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| author | Yanikov, Ustin M Kulikov, Vasily A Shirokov, Andrey M |
| author_facet | Yanikov, Ustin M Kulikov, Vasily A Shirokov, Andrey M |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04627 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential Yanikov, Ustin M Kulikov, Vasily A Shirokov, Andrey M Nuclear Theory 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. |
| title | Harmonic Oscillator Representation of Scattering Theory in the Presence of Coulomb Potential |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2504.04627 |