Systematic spectroscopic study of neutron rich nuclei within a new shell model context

An iterative approach for diagonalizing nuclear Shell Model (SM) Hamiltonian matrices, developed few years ago, has been used for performing large scale shell model calculations around the doubly-magic 132Sn. Calculated spectra and transition strengths correctly reproduces the available experimental data, and have been used for probing the prediction of collective algebraic models in this region, in particular for isotopes on which few measures are available. The calculation predicts an increasing neutron weight in the isotopes departing from the doubly-magic 132Sn and moving toward the neutron drip line.