In the Skyrme-HFB formalism, the evaluation of the expectation value of the energy leads to an expression which is a functional of the local densities, namely, the particle (normal) and pairing (abnormal) densities

and | (4) |

and their derivatives. The presence of non local terms in the force leads to a dependence on the normal and abnormal kinetic densities

(5) | |||

(6) |

while the spin-orbit term leads to a dependence on the spin current tensors and . We do not give here the definitions of these tensors, because for the spherical symmetry discussed here they reduce to the corresponding spin current vectors and