Odd deformed nuclei with \(\gamma\)-instability

The properties of deformed odd nuclei away from the E(5/4) critical point have been studied by using an adjustable Kratzer potential for the even-even core coupled to a fermion moving in a single j = 3/2 shell. This choice preserves the \(\gamma\)-instability of the whole system and gives precise analytic predictions for spectra and transitions rates, that are compared with available spectroscopic information in iridium isotopes.