弯曲晶体中相对论粒子体反射的模型解
Model solution for volume reflection of relativistic particles in a bent crystal
摘要：
对于弯曲晶体中的体反射过程，在不考虑非相干多次散射的情况下，在抛物连续势模型下，得到了正负电荷粒子在每个晶面间距上运动轨迹的精确解析表达式.在晶体弯曲半径大大超过临界值的极限下，得到了以Lindhard临界角为单位的粒子平均偏转角的渐近公式，以及最终光束轮廓的渐近公式。带负电荷的粒子的体积反射显示包含彩虹散射和轨道的影响，而带正电荷的粒子没有这些影响出现在给定的模型。模型预测与实验结果和数值模拟进行了比较。估计的体积反射的平均角度和最终的光束轮廓下的多次散射的鲁棒性。
英文摘要：
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 deflection 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
