%0 Journal Article %T Skyrme effective pseudopotential up to the next-to-next-to-leading order %A Davesne, D. %A Pastore, A. %A Navarro, J. %J Journal of Physics G %D 2013 %V 40 %N 9 %I Iop Publishing Ltd %@ 0954-3899 %G English %F Davesne_etal2013 %O WOS:000323135200010 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1558), last updated on Fri, 13 Sep 2013 08:41:32 +0000 %X The explicit form of the next-to-next-to-leading order ((NLO)-L-2) of the Skyrme effective pseudopotential compatible with all required symmetries and especially with gauge invariance is presented in a Cartesian basis. It is shown in particular that for such a pseudopotential there is no spin-orbit contribution and that the D-wave term suggested in the original Skyrme formulation does not satisfy the invariance properties. The six new (NLO)-L-2 terms contribute to both the equation of state and the Landau parameters. These contributions to symmetric nuclear matter are given explicitly and discussed. %R 10.1088/0954-3899/40/9/095104 %U http://arxiv.org/abs/1307.2349 %U https://doi.org/10.1088/0954-3899/40/9/095104 %P 095104-8pp