PT Journal AU Becker, P Davesne, D Meyer, J Pastore, A Navarro, J TI Tools for incorporating a D-wave contribution in Skyrme energy density functionals SO Journal of Physics G JI J. Phys. G PY 2015 BP 034001 EP 19pp VL 42 IS 3 DI 10.1088/0954-3899/42/3/034001 LA English DE energy density functional; D-wave; Skyrme pseudo-potential; linear response theory AB The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim of the present article is to provide the necessary tools to incorporate this term in a fitting procedure: first, a mean-field equation written in spherical symmetry in order to describe spherical nuclei and second, the response function to detect unphysical instabilities. With these tools it will be possible to build a new fitting procedure to determine the coupling constants of the new functional. ER