The role of the interaction of simple and complex configurations in forming a variety of spectral and beta-decay characteristics of spherical neutron-rich nuclei is considered. Collective dynamics of vibrational excitations is investigated for both the limits of large and small oscillatory amplitudes and with the use of statistical analysis. In particular, the development of the quasiparticle-phonon model allows to identify the structure of one- phonon and two-phonon states with one set of parameters and correctly describe beta-decay rates and the characteristics of beta-delayed γ spectroscopy and neutron emission. Moreover, the calculation scheme of beta-decay properties based on the energy density functional which considers dynamic correlations responsible for the particle-vibration coupling is proposed.

(Based on the materials of the candidate’s dissertation.)