Abstract

In the channeling model, the interaction between relativistic electrons and crystal axes and planes is described traditionally as the motion in an averaged continuous potential. However, real crystal axes and planes consist of individual atoms arranged periodically. The interaction of an electron with periodic heterogeneities is accompanied by the transfer, to the crystal, of strictly quantized portions of the momentum Δ p_|| = 2πnћ/d, where n = 1, 2, 3, … and d is the period of the potential heterogeneity arrangement coinciding with that of the crystal lattice in the case of motion along the axis. A photon with the energy ћω ~ 4πћ\({{E_{1}^{2}} \mathord{\left/ {\vphantom {{E_{1}^{2}} {d{{m}^{2}}{{c}^{3}}}}} \right. \kern-0em} {d{{m}^{2}}{{c}^{3}}}},\) where E₁ is the initial electron energy, is emitted in the case where quantum longitudinal momentum is transferred to the lattice. If E₁ ~ 1 GeV or more, a kinetic electron energy of up to 90% transforms into the energy of a single photon during such a process.

中文翻译：

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在与晶体周期性异质性相互作用期间，相对论电子能转化为单光子

摘要

在沟道模型中，相对论电子与晶轴和晶面之间的相互作用传统上被描述为平均连续电位中的运动。但是，实际的晶轴和晶面由周期性排列的单个原子组成。电子与周期性异质性的相互作用伴随着动量Δp _|| 的严格量化部分向晶体的转移。=  2π nћ / d，其中Ñ = 1，2，3，...和d是潜在的异质性的安排与在沿轴线的运动的情况下，晶格一致的周期。与能量光子ћ ω〜4π ћ\（{{E_ {1} ^ {2}} \ mathord {\ left / {\ vphantom {{E_ {1} ^ {2}} {d {{m} ^ {2}} {{c} ^ { 3}}}}} \右。\克恩-0EM} {d {{M} ^ {2}} {{C} ^ {3}}}}，\）其中Ë ₁是初始电子能量，发射在量子纵向动量转移到晶格的情况下。如果ë ₁〜1电子伏特或更大，在此过程中高达90点％的变换成一个单一的光子的能量的电子动能。