  We develop a novel theoretical method for calculating spectroscopic
properties of those nuclei with odd number of nucleons, that is based on the
nuclear density functional theory and the particle-boson coupling scheme.
Self-consistent mean-field calculation based on the DFT is performed to provide
microscopic inputs to build the Hamiltonian of the interacting boson-fermion
systems, which gives excitation spectra and transition rates of odd-mass
nuclei. The method is successfully applied to identify the quantum shape phase
transitions and the role of octupole correlations in odd-mass nuclei, and is
extended further to odd-odd nuclear systems.
