Theory of Planar Channeling of Relativistic Protons in Bent Crystals

Abstract

Abstract Dechanneling of relativistic protons in planar channels of bent crystals is examined on the basis of the Fokker‐Planck equation. The dependence of the dechanneling half‐length x 1/2 in a curved channel of (110) Si on the particle energy E and the bending radius R is found. It is shown that in the bent crystal the dechanneling lengths are considerably reduced and the proportionality between the x 1/2 value and the particle energy E is violated. The optimum conditions for deflection of a proton beam at the definite angle by a bent crystal are considered.