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We have introduced a separable pairing force, which was adjusted to reproducethe pairing properties of the Gogny force in nuclear matter. This separablepairing force is able to describe in relativistic Hartree-Bogoliubov (RHB)calculations the pairing properties in the ground state of finite nuclei onalmost the same footing as the original Gogny interaction. In this work weinvestigate excited states using the Relativistic Quasiparticle Random PhaseApproximation (RQRPA) with the same separable pairing force. For consistencythe Goldstone modes and the convergence with various cutoff parameters in thisversion of RQRPA are studied. The first excited $2^+$ states for the chain ofSn-isotopes with Z=50 and the chain of isotones with N=82 isotones arecalculated in RQRPA together with the $3^-$ states of Sn-isotopes. Comparingwith experimental data and with the results of original Gogny force we findthat this simple separable pairing interaction is very successful in depictingthe pairing properties of vibrational excitations.

A Separable Pairing Force for Relativistic Quasiparticle Random Phase Approximation