Study of resonance states of 11Be with isospectral bound state microscopic potential

The theoretical procedure of supersymmetric quantum mechanics (SQM) is adopted for the first time to study quasi-bound states of a weakly bound nuclear system using microscopic potential. The density dependent M3Y (DDM3Y) effective interaction was found earlier to give a satisfactory description of radioactivity, nuclear matter and scattering. In the present work, we have microscopically generated a two-body potential in a single folding model using the DDM3Y effective interaction. From this potential, SQM generated a family of isospectral potentials for 11Be (10Be + n). We investigated the 5/2+, 3/2− and 3/2+ resonance states of 11Be. The experimental data and the present calculations of excitation energies of the above resonance states are found to be in good agreement.