An extension of Covariant Density Functional Theory is used to analyze the E1 strength distributions in the doubly magic nuclei, for which data on pygmy dipole resonances (PDR) have recently been reported. Particle-vibration coupling based on relativistic random phase approximation (RRPA) is included in a fully consistent way and the effect of two-phonon admixtures on the low-lying E1 strength is investigated. S [e 2 fm 2 / MeV
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