Very recent experiments have studied for the first time collective
excitations of an ultracold 6Li gas covering in particular the BEC-BCS
crossover domain. We point out that the results for the axial mode, through
hydrodynamics, give direct access to the (3D) equation of state of the strongly
interacting gas, mostly near the unitarity limit. On the other hand the
surprising results found for the radial mode are actually not necessarily in
contradiction with the expectations from superfluid hydrodynamics.Comment: 2 pages, 1 figur