Abstract
The structure of even-mass isotopes [Formula: see text]Ge is described in the framework of the five-dimensional Bohr collective Hamiltonian with the microscopic input from a self-consistent mean-field calculation based on the multidimensional constrained covariant density functional theory. The relativistic functionals PC-PK1 and NL3 supplemented by a finite-range pairing force are used to perform constrained mean-field calculations of potential energy surfaces and collective inertia as functions of quadrupole deformation parameters. Results of calculations manifest the spherical-oblate-prolate shape transition in neutron-rich Ge isotopes. The properties of low-lying collective states are calculated and compared with the available experimental data. In particular, for [Formula: see text]Ge isotopes excitation spectra are accurately reproduced. The results represent a significant advancement in understanding the peculiar structure of the Ge isotopes.