Binding of neutral atoms to ferromagnetic wire

We suggest a method of binding atoms to ferromagnetic wire through the interaction between the atomic magnetic moment and the magnetic field of the wire. It is shown that the two-dimensional 1/ρ² potential arises between the atom and the wire with magnetization perpendicular to the latter, the three-dimensional 1/r² potential arises between the atom and the end of the wire with magnetization parallel to the wire, the two-dimensional 1/ρ potential arises when magnetization of the wire is parallel to the wire, and the magnitude of magnetization changes linearly along the wire. We also discuss the possibility of experimental realization of binding of sodium atoms to the ferromagnetic iron wire.