A Computational Phase Function Method for $α-α$ Scattering: Wavefunction Construction from Single and Two-Term Morse Potentials
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arXiv
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2026
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| _version_ | 1866914341131911168 |
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| author | Khachi, Anil Awasthi, Shikha Verma, Tarachand Joshi, Ranjana |
| author_facet | Khachi, Anil Awasthi, Shikha Verma, Tarachand Joshi, Ranjana |
| contents | In this work, the phase function method (PFM) is employed for the first time to explicitly construct scattering wavefunctions for the $αα$ system using a single-term Morse potential. Unlike earlier PFM-based studies that primarily focused on reproducing scattering phase shifts, the present approach directly reconstructs radial wavefunctions for the $\ell = 0$, 2, and 4 partial waves without solving the Schr$\ddot{\text{o}}$dinger equation.
For comparison, we adopt the interaction potential parameters reported by Sastri et al., who determined them using a two-term reference potential approach with genetic algorithm optimization to accurately reproduce the $αα$ scattering phase shifts. Without re-optimization, we construct the corresponding wavefunctions and find very good agreement with those obtained using our single-term Morse potential. The results also show excellent consistency with the resonating-group method calculations of Hiura \textit{et al.}.These findings demonstrate that PFM provides a numerically stable, efficient, and unified framework for scattering wavefunction construction in cluster-cluster systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11749 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Computational Phase Function Method for $α-α$ Scattering: Wavefunction Construction from Single and Two-Term Morse Potentials Khachi, Anil Awasthi, Shikha Verma, Tarachand Joshi, Ranjana Nuclear Theory In this work, the phase function method (PFM) is employed for the first time to explicitly construct scattering wavefunctions for the $αα$ system using a single-term Morse potential. Unlike earlier PFM-based studies that primarily focused on reproducing scattering phase shifts, the present approach directly reconstructs radial wavefunctions for the $\ell = 0$, 2, and 4 partial waves without solving the Schr$\ddot{\text{o}}$dinger equation. For comparison, we adopt the interaction potential parameters reported by Sastri et al., who determined them using a two-term reference potential approach with genetic algorithm optimization to accurately reproduce the $αα$ scattering phase shifts. Without re-optimization, we construct the corresponding wavefunctions and find very good agreement with those obtained using our single-term Morse potential. The results also show excellent consistency with the resonating-group method calculations of Hiura \textit{et al.}.These findings demonstrate that PFM provides a numerically stable, efficient, and unified framework for scattering wavefunction construction in cluster-cluster systems. |
| title | A Computational Phase Function Method for $α-α$ Scattering: Wavefunction Construction from Single and Two-Term Morse Potentials |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2601.11749 |