Large-scale shell model calculation of neutron rich even-Even 54-66Fe isotopes

Shell model calculations were performed to study the energy levels and the reduced transition probabilities B(E2;0_(g.s)^+?2_1^+) for even-even 54-66Fe neutron rich isotopes by using the shell model code Nushellx@MSU for windows by employing the effective interactions GXPF1, GXPF1A, KB3G and FPD6. The core is taken at 48Ca for all nuclei under study and the results of our theoretical calculations for both energy levels and reduced transition probabilities B(E2;0_(g.s)^+?2_1^+) are compared with the most recent available experimental data. A good agreement were obtained for all isotopes under study for energy levels and unable to reproduce the experimental data for the reduced transition probabilities using constant effective charges which proves the limitation of full-fp calculations.