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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.11749 |
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Table of 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.