  Fusion cross-sections are computed for the $^{40}$Ca$+^{40}$Ca system over a
wide energy range with two microscopic approaches where the only
phenomenological input is the Skyrme energy density functional. The first
method is based on the coupled-channels formalism, using the bare
nucleus-nucleus potential calculated with the frozen Hartree-Fock technique and
the deformation parameters of vibrational states computed with the
time-dependent Hartree-Fock (TDHF) approach. The second method is based on the
density-constrained TDHF method to generate nucleus-nucleus potentials from
TDHF evolution. Both approaches incorporate the effect of couplings to internal
degrees of freedoms in different ways. The predictions are in relatively good
agreement with experimental data.
