Shell Model Structure of 106,108,110Sn

We reconstruct the single-shell states and the corresponding matrix elements needed for describing mid-heavy odd-even Sn isotopes within sdgh major shell in the framework of the nuclear shell model. We implement an exact truncation based on the occurrence of only certain Young diagrams in building the multi-shell model states. This truncation allows us to calculate the coefficient of fractional parentage (CFP) for mid-heavy Sn isotopes by reducing the calculation requirements. Then, we have carried out the shell model calculations for 106,108,110Sn by using Nijmegen two-body effective nucleon-nucleon (NN) interaction. We compare the calculated low-lying spectra of 106,108,110Sn isotopes to the experimental ones