Making use of the finite rank separable approach for the quasiparticle random phase approximation enables one to perform nuclear structure calculations in very large two-quasiparticle spaces. The approach is extended to take into account the residual particle-particle interaction. The calculations are performed by using Skyrme interactions in the particle-hole channel and density-dependent zero-range interactions in the particle-particle channel. To illustrate our approach, we study the properties of the lowest quadrupole states in the even-even nuclei ${}^{128}\mathrm{Pd}$, ${}^{130}\mathrm{Cd}$, ${}^{124-134}\mathrm{Sn}$, ${}^{128-136}\mathrm{Te}$, and ${}^{136}\mathrm{Xe}$.

• Received 16 November 2007

DOI:https://doi.org/10.1103/PhysRevC.77.024322