Structure of neutron deficient Sn isotopes

In this work we present the probably first realistic shell model calculation of the low-lying spectra for the unstable even Sn isotopes with mass number A=102, 104, and 106. The effective shell model interaction was derived from a realistic free nucleon-nucleon interaction employing perturbative many-body techniques. For several of the isotopes studied, experimental data are rather scarce or nonexistent. The spectra we derive may therefore serve as a guide for identifying levels in the unstable Sn isotopes near the doubly magic ${}_{}{}^{100}{}_{}{}^{}\mathrm{Sn}$ core. We test our results by calculating E2 transitions for the above nuclei.