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A finite rank separable approximation for the particle-hole RPA calculationswith Skyrme interactions is extended to take into account the pairing. As anillustration of the method energies and transition probabilities for thequadrupole and octupole excitations in some O, Ar, Sn and Pb isotopes arecalculated. The values obtained within our approach are very close to thosethat were calculated within QRPA with the full Skyrme interaction. They are inreasonable agreement with experimental data.Comment: 20 pages, 1 figure, submitted to Phys.Rev.

Quasiparticle random phase approximation with finite rank approximation for Skyrme interactions