  The Brussels-Montreal Skyrme functionals have been successful to describe
properties of both finite nuclei and infinite homogeneous nuclear matter. In
their latest version, these functionals have been equipped with two extra
density-dependent terms in order to reproduce simultaneously ground state
properties of nuclei and infinite nuclear matter properties while avoiding at
the same time the arising of ferromagnetic instabilities. In the present
article, we extend our previous results of the linear response theory to
include such extra terms at both zero and finite temperature in pure neutron
matter. The resulting formalism is then applied to derive the neutrino mean
free path. The predictions from the Brussels-Montreal Skyrme functionals are
compared with ab-initio methods.
