  The motion of neutral, polarizable atoms (also called neutral particles in
this work) in the field of the Bessel beam is considered. It is shown in the
numerical way, that the Bessel rings, i.e., the regions of high energy
concentration can trap particles of positive polarizability (atoms in
red-detuned beams). This trapping occurs only in the plane perpendicular to the
wave propagation, and the motion along the beam is unrestricted. When the beam
is superposed with the plane wave of the same frequency propagating in the same
direction, the particles are guided along helices, fixed in space. The shape of
these helices depends on the parameters characterizing the electromagnetic
fields but not on the initial state of guided particles. Depending on the
vorticity of the Bessel beam, these helices can be made left or right-handed.
In the special case of zero vorticity, the helices get degenerated to the true,
three-dimensional rings, which can serve as $3D$ traps. The emerging structure
of potential valleys can be applied to parallel guidance or capture several
independent atoms, each in its own trap.
