  The Aharonov Casher effect predicts the existence in two dimensions of
ceil(Phi/2pi) -1 bounded zero modes associated with a magnetic flux Phi.
Aharonov and Casher discussed the case of gyromagnetic factor equals 2, we will
discuss the general case of any gyromagnetic factor. As a simple model, we
study the case where the magnetic field lies in a thin annulus. First we
examine the wavefunctions of the zero-energy bounded states, predicted by the
Aharonov Casher Effect for electrons with gyromagnetic ratio equal 2. We then
calculate the wave function and energies for a gyromagnetic ratio g not equal
to 2. We give the dependence of the bound states energies on g and the angular
momentum. Finally, we provide an order of magnitude estimations for the binding
energies.
