Volume Reflection and Volume Refraction of Relativistic Particles in a   Uniformly Bent Crystal
  The scattering of fast charged particles in a bent crystal has been analyzed in the framework of relativistic classical mechanics. The expressions obtained for the deflection function are in satisfactory agreement with the experimental data for the volume reflection of relativistic protons obtained in [1,2,3]. The features of the scattering of the particles on ring potentials are considered in a wide range of impact parameters 
Gennady V. Kovalev
math-ph math.MP