Abstract
Towards applications to multi-cluster systems involving heavy clusters, we study properties of a shallow-singular potential generated by supersymmetric transformations from an original deep potential. Changes of the relative wave functions by the transformations are quantified with electric-multipole transitions which give a different radial sensitivity to the wave function depending on their multipolarity. Despite the fact that the original and transformed potentials give exactly the same phase shift, some observables are unfavorably modified. We propose another possible way to obtain a desired supersymmetric potential.
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References
Arai, T., Horiuchi, W., Baye, W.: Nucl. Phys. A 977, 82 (2018)
Baye, D.: Phys. Rev. Lett. 58, 2738 (1987)
Acknowledgements
This work was in part supported by JSPS KAKENHI Grant Numbers 18K03635 and 18H04569.
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Arai, T., Horiuchi, W., Baye, D. (2020). Properties of Supersymmetric Transformed Alpha-Nucleus Potentials Studied with Electric-Multipole Transitions. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_37
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DOI: https://doi.org/10.1007/978-3-030-32357-8_37
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