Model solution for volume reflection of relativistic particles in a bent crystal

Details Model solution for volume reflection of relativistic particles in a bent crystal Model solution for volume reflection of relativistic particles in a bent crystal

2009-10-31

arxiv.org/abs/0911.0107v3

Phys.Rev.A82:042902,2010

Physics

Classical Physics

21 pages, 11 figures

Scientific paper

For volume reflection process in a bent crystal, exact analytic expressions for positively- and negatively-charged particle trajectories are obtained within a model of parabolic continuous potential in each interplanar interval, with the neglect of incoherent multiple scattering. In the limit of the crystal bending radius greatly exceeding the critical value, asymptotic formulas are obtained for the particle mean de?ection angle in units of Lindhard's critical angle, and for the final beam profile. Volume reflection of negatively charged particles is shown to contain effects of rainbow scattering and orbiting, whereas with positively charged particles none of these effects arise within the given model. The model predictions are compared with experimental results and numerical simulations. Estimates of the volume reflection mean angle and the final beam profile robustness under multiple scattering are performed.

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