关于带电粒子在磁单极场中运动的一些评注

Some notes on the motion of a charged particle in the field of a magnetic monopole

指出教科书中关于带电粒子在磁单极场中的散射与电荷量子化的简化讨论存在明显的错误.通过对运动轨迹的仔细分析,得出的物理图像是:粒子从入射到出射,极距角θ和方位角?均发生了变化.特别是,当瞄准距离很大时,?的变化近似为±π/2.计算了角动量的变化并得到了合理的结果.顺便讨论了散射截面的计算.

We point out that the simplified calculations in the textbook on the scattering of charged particles by the field of a magnetic monopole and the quantization of electric charge lead to some obvious error.Reexamination of the orbit of the charged particle yields the physical picture:the azimuthal angle?as well as the polar angleθof the incident particle change after scattering.In particular,for very large impact parameter,the change of?is approximately±π/2.The change of the angular momentum is calculated and reasonable results are obtained.The scattering cross section is also discussed.