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

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