Measurements of the g-factors of the $4^+$ states in $^{72,76}$Ge isotopes

In this work, the g factors of the excited $4^+_1$ states of $^{72,76}$Ge were measured, using the Transient Field (TF) technique, and the results will be presented. The $4^+_1$ states of $^{72,76}$Ge were populated by using projectile excitation. The $^{72,76}$Ge beams were accelerated to 200 MeV at the Yale Tandem accelerator and were Coulomb excited as they interacted with a Mg target. The systematic studies of the g factors of $2^+_1$ and $4^+_1$ nuclear states provide an understanding of the microscopic structure of the wave functions of these low-lying excited states, since the g factors are very sensitive to the proton and neutron configurations in the wave functions. The measured g factor results can be compared to the predictions of either large-scale shell model calculations or of collective models. The measured g factors of the $2^+_1$ states in the Ge isotopes show reasonable agreement with the $Z/A$ values that are characteristic of collective behavior. The lack of data for the g factors of the corresponding $4^+_1$ states motivated the present investigations. Work supported by the U.S. National Science Foundation and U.S.D.O.E under grant DE-FG02-91ER-40609.