- th / 0 61 10 61 v 1 1 6 N ov 2 00 6 Structure of exotic nuclei around double shell closures

In this paper, we first give a brief review of the theoretical framework for microscopic shell-model calculations starting from the free nucleon-nucleon potential. In this context, we discuss the use of the low-momentum nucleon-nucleon interaction V low−k in the derivation of the shell-model effective interaction and emphasize its practical value as an alternative to the Brueckner G-matrix method. Then, we present some results of our current study of exotic nuclei around doubly magic 132 Sn, which have been obtained starting from the CD-Bonn potential renormalized by use of the V low−k approach. Attention is focused on the nuclei 134 Te, 134 Sn, and 136 Te, in particular on the latter which is a direct source of information on the proton-neutron effective interaction in the 132 Sn region. Comparison shows that our results are in very good agreement with the available experimental data.