A self-consistent factorization of the two-body residual interaction in random-phase approximation (RPA) is proposed for density- and current-dependent nuclear energy functionals. Following this procedure, a separable RPA (SRPA) method is constructed. SRPA provides a reliable approximation to exact RPA while considerably simplifying the calculations. The method is tested and exemplified for the Skyrme forces SkI3 and SkM*.
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