Abstract
Working within the framework of the Coulomb modified Glauber model and using the optical limit approximation to evaluate the elastic S-matrix, we use a parameterized effective nucleon-nucleon phase shift function instead of the frequently applied Gaussian parameterization of the nucleon-nucleon scattering amplitude to compute elastic differential cross sections for alpha particles. Our phenomenological ansatz contains three parameters which are adjusted in order to reproduce the alpha nucleus elastic scattering data for one nucleus at each of three beam energies. It is found that once the nucleon-nucleon phase shift function is so calibrated, our model very nicely reproduces elastic alpha scattering data on other nuclei at the same energy.
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Acknowledgments
We are grateful to (the late) Prof. I. Ahmad for his valuable suggestions and fruitful discussions. One of the authors (M.A.A.) would like to thank Prof. Ahmad A. Al-Ghamdi for his encouragement during the course of this work.
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Alvi, M.A., Abdulmomen, M.A., Madani, J.H. et al. Elastic α-Nucleus Scattering at 36 to 60 Mev/Nucleon. Braz J Phys 41, 140–145 (2011). https://doi.org/10.1007/s13538-011-0019-0
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DOI: https://doi.org/10.1007/s13538-011-0019-0