We consider the problem of the bound states of a $\mathrm{s}\mathrm{p}\mathrm{i}\mathrm{n}-1/2$ chargeless particle in a given Aharonov-Casher configuration. To this end we recast the description of the system in a supersymmetric form. Then the basic physical requirements for unbroken supersymmetry are established. We comment on the possibility of neutron confinement in this system.

• Received 13 November 1998

DOI:https://doi.org/10.1103/PhysRevA.60.R1