Deflection of Particle Beams Using Planar Channeling

Abstract

In 1976 Tsyganov^l considered the motion of planar channeled particles in a crystal bent elastically in a direction perpendicular to the particle direction and to the channeling plane. This, he postulated, should introduce a centrifugal force to the particle motion equivalent to lowering one side of the continuum potential well and raising the other. This would cause the equilibrium planar trajectory to move away from the midpoint of the planar channel toward the plane on the convex side of the curved planar channel. Although such a shift would cause some of the channeled particles to become dechanneled, it was suggested that others would follow the curved trajectory through the crystal and that it might be possible in this way to deflect high-energy charged particles through much smaller radii than can be attained through achievable magnetic or electrostatic fields. The curvature at which no particles can remain channeled is reached when the equilibrium point of planar channeled motion is shifted to the position of the planar wall on the outside of the curve.