PT Journal AU Becker, P Davesne, D Meyer, J Navarro, J Pastore, A TI Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry SO Physical Review C JI Phys. Rev. C PY 2017 BP 044330 EP 17pp VL 96 IS 4 DI 10.1103/PhysRevC.96.044330 LA English AB We present the development of the extended Skyrme N2LO pseudopotential in the case of spherical even-even nuclei calculations. The energy density functional is first presented. Then we derive the mean-field equations and discuss the numerical method used to solve the resulting fourth-order differential equation together with the behavior of the solutions at the origin. Finally, a fitting procedure for such an N2LO interaction is discussed and we provide a first parametrization. Typical ground-state observables are calculated and compared against experimental data. ER