磁荷和电荷系统的小角散射
Small-angle scattering on a system of magnetic and electric charges
摘要:
本文将共形散射方法推广到包含磁单极子和普通电荷的小角散射过程。使用这种推广,我们表明,引入磁荷对应于解析延程函振幅在复杂的电荷平面(虚部是成比例的磁荷)。本文用合流超几何函数计算了双子和两个单极子上散射的程函振幅。详细研究了相应振幅(焦点)的奇异性。
英文摘要:
The generalization of the conformal scattering method for small-angle scattering processes involving magnetic monopoles and ordinary charges is constructed. Using this generalization we show that introducing of magnetic charges corresponds to analytical continuation of the eikonal amplitude in the complex charge plane (the imaginary part is proportional to the magnetic charge). We calculate explicitly the eikonal amplitude for scattering on a dyon and two monopoles in terms of confluent hypergeometric functions. The singularities of the corresponding amplitudes (focal points) are studied in details.
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