TY - JOUR AU - Becker, P. AU - Davesne, D. AU - Meyer, J. AU - Navarro, J. AU - Pastore, A. PY - 2017 DA - 2017// TI - Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using the N2LO Skyrme pseudopotential in spherical symmetry T2 - Phys. Rev. C JO - Physical Review C SP - 044330 EP - 17pp VL - 96 IS - 4 PB - Amer Physical Soc 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. SN - 2469-9985 UR - http://arxiv.org/abs/1707.08622 UR - https://doi.org/10.1103/PhysRevC.96.044330 DO - 10.1103/PhysRevC.96.044330 LA - English N1 - WOS:000413768400005 ID - Becker_etal2017 ER -