  We analyze the Mott transition in multi-band Hubbard models with the
inclusion of multiplet exchange splittings as it arises in infinite dimensions
by using the generalized Gutzwiller wave-function introduced by B\"unemann,
Weber and Gebhard [Phys. Rev. B 57, 6896 (1998)]. We also present an extension
of that variational wave-function to account for broken-symmetry phases, which
still allows an exact analytical treatment. Our analysis reveals some drawbacks
of the variational wave-function, which, in our opinion, imply that
Gutzwiller-type of wave-functions do not properly capture quasi-particle
properties close to a Mott transition.
