Resonance state wave functions of 15Be 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 15Be. 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 15Be. It becomes apparent that the present framework is a powerful tool to theoretically complement the increasingly important accelerator based experiments with unbound nuclei.

Keywords

• Resonance
• Folding
• Isospectral potential