Volume capture and volume reflection of ultrarelativistic particles in   bent single crystals
  Influence of volume capture on a process of volume reflection of ultrarelativistic particles moving in bent single crystals was considered analytically. Relations describing various distributions of particles involving in the process, the probability of volume capture and behavior of channeling and dechanneling fractions of a beam were obtained. Results of study will be useful at creation of multicrystal devices for collimation and extraction of beams on modern and future accelerators. 
Yu.A. Chesnokov, V.A. Maisheev and I.A. Yazynin