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Resonance State Wave Functions of $^{15}$Be using Supersymmetric Quantum Mechanics

arXiv:1703.09448 · doi:10.1016/j.physletb.2017.12.008

Abstract

The theoretical procedure of supersymmetric quantum mechanics is adopted to generate the resonance state wave functions of the unbound nucleus $^{15}$Be. In this framework, we used a density dependent M3Y microscopic potential and arrived at the energy and width of the 1.8 MeV (5/2$^+$) resonance state. We did not find any other nearby resonances for $^{15}$Be. It becomes apparent that the present framework is a powerful tool to theoretically complement the increasingly important accelerator based experiments with unbound nuclei.

5 pages, 4 figures, Phys. Lett. B (2017)