用MBN Explorer模拟晶体中的超相对论电子和正电子碰撞
Simulation of Ultra-Relativistic Electrons and Positrons Channeling in Crystals with MBN Explorer
摘要：
本文介绍了一个新开发的程序，它是\MBNExplorer程序包\cite{MBN_ExplorerPaper,MBN_ExplorerSite}的一部分，用来模拟超相对论性射弹在晶体介质中的运动轨迹。通过积分相对论性运动方程，并考虑晶体原子与弹丸的相互作用，对弹丸的运动进行了经典处理。引入的概率元素的横向坐标和速度的弹丸在晶体入口处的随机选择，以及通过占由于热振动的原子的随机位置。模拟的轨迹用于发射的辐射的数值分析。通过模拟$\E=6.7$ GeV和$\E=855$ MeV电子和正电子在取向Si（110）晶体和非晶硅中的轨道和辐射，对程序进行了初步的认可和验证。计算的光谱与实验数据和预测的Bethe-Heitler理论的非晶环境进行了比较。
英文摘要：
A newly developed code, implemented as a part of the \MBNExplorer package \cite{MBN_ExplorerPaper,MBN_ExplorerSite} to simulate trajectories of an ultra-relativistic projectile in a crystalline medium, is presented. The motion of a projectile is treated classically by integrating the relativistic equations of motion with account for the interaction between the projectile and crystal atoms. The probabilistic element is introduced by a random choice of transverse coordinates and velocities of the projectile at the crystal entrance as well as by accounting for the random positions of the atoms due to thermal vibrations. The simulated trajectories are used for numerical analysis of the emitted radiation. Initial approbation and verification of the code have been carried out by simulating the trajectories and calculating the radiation emitted by $\E=6.7$ GeV and $\E=855$ MeV electrons and positrons in oriented Si(110) crystal and in amorphous silicon. The calculated spectra are compared with the experimental data and with predictions of the Bethe-Heitler theory for the amorphous environment.
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