In this work we analyse Cherenkov radiation by relativistic muons, positive and negative, channeled in optically transparent diamond and silicon crystals in comparison with ordinary Cherenkov radiation. We have shown that the maxima in the spectral angular distributions for both types of radiation are revealed at the derivative extrema for the media refractive index, while, due to the difference in scattering of positively and negatively charged particles at crystal channeling, the number of Cherenkov photons emitted by channeled positive muons might be over the one for negative muons. We have demonstrated that Cherenkov radiation by quasi free projectiles is described as one limiting approximation of a general expression for Cherenkov radiation by channeled projectiles, which takes into account non-zero derivative of the refractive index. The last may result in essential increase of radiation intensity.

在这项工作中，与普通的切伦科夫辐射相比，我们通过相对论性的正负性介子对切伦科夫辐射进行了分析，这些相对论子在光学透明的金刚石和硅晶体中传输。我们已经表明，两种类型的辐射的光谱角分布的最大值都在介质折射率的导数极值处显示，而由于在晶体通道中带正电和带负电的粒子在散射方面的差异，切伦科夫数通道正的μ子发出的光子可能超过负子的光子。我们已经证明，准自由弹丸的Cherenkov辐射被描述为带通道弹丸的Cherenkov辐射的一般表达式的一个极限近似，其中考虑了折射率的非零导数。