Pairing vibrations study from time-dependent hartree-fock-bogoliubov formalism

We study pairing vibrations in ^18,20,22O and ^42,44,46Ca nuclei solving the time-dependent Hartree-Fock-Bogoliubov equation in coordinate space with spherical symmetry. We use the SLy4 Skyrme functional in the particle-hole part of the energy density functional and a local, density-dependent pairing functional in its particle-particle (hole-hole) part. Pairing vibrations are excited by a two-neutrons transfer operator. The Fourier analysis of the time-dependent response of the expectation value of this operator in the linear regime is used to extract strength functions. The presence of the giant pairing vibration is discussed.