English

Study of resonance states of $^{11}$Be with isospectral bound state microscopic potential

Nuclear Theory 2014-07-28 v2

Abstract

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 generated a two-body potential microscopically in a single folding model using the DDM3Y effective interaction. From this potential, SQM generated a family of isospectral potentials for 11^{11}Be (10^{10}Be + n). We investigated the 5/2+^+, 3/2^- and 3/2+^+ resonance states of 11^{11}Be. The experimental data and the present calculations of excitation energies of the above resonance states are found to be in good agreement.

Keywords

Cite

@article{arxiv.1302.5604,
  title  = {Study of resonance states of $^{11}$Be with isospectral bound state microscopic potential},
  author = {S. K. Dutta and D. Gupta and D. Das and Swapan K. Saha},
  journal= {arXiv preprint arXiv:1302.5604},
  year   = {2014}
}

Comments

7 pages, 6 figures