Abstract
Systematic calculations of low-lying energy levels and $$B(E2)$$ transitions in the $${}^{76}$$ Ge nucleus are performed by diagonalization of the five-dimensional Bohr collective Hamiltonian with the microscopic input derived from a self-consistent mean-field calculation based on the multidimensional constrained covariant density functional theory. The relativistic functionals PC-PK1, NL3, and NL3 $${}^{\ast}$$ supplemented by a finite-range pairing force are used. The calculated properties of the yrast band show good agreement with available experimental data. Based on the analysis of energies of yrast states and the $$B(E2)$$ branching ratios the $${}^{76}$$ Ge isotope is a viable candidate for an asymmetric rotor description with $$\gamma=30^{\circ}$$ .