Supersymmetric quantum mechanics to study the 16.8 MeV resonance state of ${}^9$B

Abstract

The study of a high-lying resonant state of ${}^9$B is carried out using supersymmetric quantum mechanics (SQM). The resulting isospectral potentials are very deep and narrow and the generated wave functions identify the resonance at 16.84 MeV with a width of 69 keV. The present work shows that SQM can be successfully applied for detection of high-lying resonances in unstable nuclei.

3 pages, 3 figures