Giant resonances with time dependent covariant density functional theory

The time dependent density functional theory is applied to study modes of vibrational excitations in atomic nuclei. The covariant density functional DD-ME2 is adopted. It turns out that DD-ME2 is able to provide simultaneously a satisfactory description of isocalar giant monopole (ISGM), isovector giant dipole (IVGD), and isoscalar giant quadrupole (ISGQ) resonances. The functional is also able to describe very well the soft dipole modes known as pygmy dipole resonances (PDR).