We have studied neutron-rich calcium isotopes in terms of the shell model, employing a realistic effective interaction derived from the CD-Bonn nucleon-nucleon potential. The short-range repulsion of the potential is renormalized by way of the $V_{\mathrm{low}-\mathrm{k}}$ approach. The calculated results are in very good agreement with the available experimental data, thus supporting our predictions for the hitherto unknown spectra of ${}^{53-56}\mathrm{Ca}$ nuclei. In this context, the possible existence of an $N=34$ shell closure is discussed.

• Received 30 July 2009

DOI:https://doi.org/10.1103/PhysRevC.80.044311