LOW-LYING $\frac52^{+}$ RESONANCE IN 11Be: BOUND STATE IN THE CONTINUUM

We have used a novel theoretical technique to calculate the [Formula: see text] resonance state of 11 Be using a two-body model (10 Be+n ). The effective two-body potential for the system has a shallow well followed by a low and very wide barrier causing numerical difficulties in the calculation of low-lying resonances. Using supersymmetric quantum mechanics (SSQM), one can construct an isospectral potential with a bound state in the continuum (BIC). This isospectral potential has a deep well and high barrier which can effectively trap the system giving rise to a BIC. Our calculated resonance energy of the [Formula: see text] state of 11 Be matches extremely well with the experimental value. Calculated width of the resonance also agrees within the computational error bars.