  A model for the cooling properties of a nanocantilever by a free electron
beam is presented for a capacitive interaction. The optimal parameters for
position sensing and cooling applications are estimated from previous
experimental conditions. In particular , we demonstrate that a purely
capacitive force and an electron beam stimulated internal feedback can lower
the temperature of a nanocantilever by several orders of magnitude in striking
contrast with the conventional electrostatic damping regime. We propose a step
by step protocol to extract the interdependent parameters of the experiments.
This work will aid future developments of ultra sensitive force sensors in
electron microscopes.
