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The low-lying dipole and quadrupole states in neutron rich nuclei, arestudied within the fully self-consistent relativistic quasiparticlerandom-phase approximation (RQRPA), formulated in the canonical basis of theRelativistic Hartree-Bogoliubov model (RHB), which is extended to include thedensity dependent interactions. In heavier nuclei, the low-lying E1 excitedstate is identified as a pygmy dipole resonance (PDR), i.e. as a collectivemode of excess neutrons oscillating against a proton-neutron core. Isotopicdependence of the PDR is characterized by a crossing between the PDR andone-neutron separation energies. Already at moderate proton-neutron asymmetrythe PDR peak is calculated above the neutron emission threshold, indicatingimportant implications for the observation of the PDR in (gamma,gamma')scattering, and on the theoretical predictions of the radiative neutron capturerates in neutron-rich nuclei. In addition, a novel method is suggested fordetermining the neutron skin of nuclei, based on measurement of excitationenergies of the Gamow-Teller resonance relative to the isobaric analog state.Comment: 8 pages, 3 figures, invited talk at the international workshop  "Blueprints for the nucleus: From First Principles to Collective Motion", May  17-22. 2004, Istanbul, Turkey; to appear in Int. J. Mod. Phys.

RELATIVISTIC DESCRIPTION OF EXOTIC COLLECTIVE EXCITATION PHENOMENA IN ATOMIC NUCLEI