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arXiv · 2308.11266

Constructing Inverse Scattering Potentials for {\alpha}-{\alpha} System using Reference Potential Approach

O. S. K. S. Sastri·Arushi Sharma·Ayushi Awasthi
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Abstract

Background: An accurate way to incorporate long range Coulomb interaction alongside short-range nuclear interaction has been a challenge for theoretical physicists. Purpose: In this paper, we propose a methodology based on the reference potential approach for constructing inverse potentials of alpha-alpha scattering. Methods: Two smoothly joined Morse potentials, regular for short-range nuclear interaction and inverted for long range Coulomb, are used in tandem as a reference potential in the phase function method to obtain the scattering phase shifts for the S, D and G states of alpha-alpha scattering. The model parameters are optimized by choosing to minimize the mean absolute percentage error between the obtained and experimental scattering phase shift values. Results: The constructed inverse potentials for S, D and G states have resulted in mean absolute percentage errors of 0.8, 0.5, and 0.4 respectively. The obtained resonances for D and G states closely match the experimental ones. Conclusion: The reference potential approach using a combination of smoothly joined Morse functions is successful in accurately accounting for the Coulomb interaction between charged particles in nuclear scattering studies.

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O. S. K. S. Sastri, Arushi Sharma, Ayushi Awasthi. 2023-08-22. Constructing Inverse Scattering Potentials for {\alpha}-{\alpha} System using Reference Potential Approach. https://arxiv.org/abs/2308.11266

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