Skyrme-RPA description of giant resonances in spherical and deformed nuclei

Ability of the time-dependent density functional theory (TDDFT) with Skyrme forces to describe electric and magnetic resonances (GR) is scrutinized within the separable RPA (SRPA) method recently developed by our group. The method is fully self-consistent and does not need additional parameters. Due to the factorization of the residual interaction, the SRPA drastically reduces the computational effort while keeping the accuracy of involved RPA method. This feature becomes crucial for systematic study of collective dynamics in complex nuclei with their huge configuration space. Both spherical and axially deformed nuclei can be covered. The isovector E1(T=1) and M1 GR is analysed in detail in rare-earth, actinide and superheavy nuclei, including long isotopic chains approaching drip-lines. A special attention is paid to the role of the time-odd current in the Skyrme functional and its influence on the GR properties. We discuss relation of the current with the effective masses and propose a tentative classification of Skyrme forces, based on the description of isovector modes.