厄米高斯波Gamma-Ray的康普顿散射
Compton Scattering of Hermite Gaussian Wave Gamma-Ray
摘要：
在相对论量子力学框架下，计算了厄米高斯波函数描述的光子康普顿散射微分截面。沿z方向传播的HG波伽马射线在x方向和y方向上分别具有节点nx和ny的量子数。计算出的微分截面相对于zx平面和zy平面对称。其数目与nx和ny相同的节点分别出现在zx和zy平面中测量的能谱中。这些结果表明，通过测量康普顿散射可以识别HG波光子及其量子数nx和ny。本文提出的方法也可应用于伽玛射线天文学。
英文摘要：
We calculate the differential cross sections for Compton scattering of photons described by Hermite Gaussian (HG) wave function in the framework of relativistic quantum mechanics. The HG wave gamma-rays propagating along the z-direction have quantum numbers of nodes of nx and ny in the x- and y-directions, respectively. The calculated differential cross section is symmetric with respect to both the zx- and zy-planes. The nodes whose number is identical with nx and ny appear in the energy spectrum measured in zx- and zy-planes, respectively. These results indicate that it is possible to identify the HG wave photon and its quantum numbers nx and ny by measuring Compton scattering. The present proposed method can be also applied to gamma-ray astronomy.
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