Simulations of volume reflection and capture in bent crystals

Recent experiments at PNPI (Gatchina), IHEP (Protvino) and CERN have measured for the first time the proton volume reflection in bent crystals. We show that these measurements agree with Monte Carlo simulations and predict strong effects for a possible crystal application at the 7 TeV Large Hadron Collider (CERN) and for the ongoing experiment at the Tevatron (FNAL). We suggest a simple formula for volume reflection efficiency. The reflection experiments are essential in validation of the theory that predicts a significant improvement in crystal-based collimation at accelerators.