The inverted odd-even staggering of the differential radii of the Eu isotopes from neutron number 88 through 93, and the Kπ = 5/2± parity doublets with magnetic moments tending towards the hybridized limit and with connecting enhanced El transitions in l55 Eu and 153 Eu suggest the existence of intrinsic reflection asymmetry in the ground state of the Eu isotopes. The average splitting energy between 3 parity doublets in 155 Eu is 63.8 keV, while it is 97.4 keV for the one parity doublet in 153 Eu . Decoupling parameters of the Kπ = 1/2± parity doublet bands in l55 Eu have opposite signs but are approaching the same absolute value as expected for intrinsic reflection asymmetric nuclei. However, the presence of the 3/2 [411] bands with octupole vibrations ~530 keV above also implies the coexistence of reflection symmetric spectra in the low energy regions of both 155 Eu and 153 Eu .