Efficiency increase of volume reflection of high-energy protons in a bent crystal with increasing curvature

Volume reflection in a bent crystal with increasing curvature has been considered by simulation for 7-TeV protons. It has been shown that a non-reflected beam fraction, which appears due to volume capture of particles into channeling states, is significantly reduced in comparison with the case of uniformly bent crystals. This allows increasing noticeably the deflection efficiency of protons by the sequence of such crystals, which can be used as a primary collimator for the LHC collimation system.