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

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.

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