论文标题

非权利论的确切理论Bremsstrahlung

Exact Theory of Non-relativistic Quadrupole Bremsstrahlung

论文作者

Pradler, Josef, Semmelrock, Lukas

论文摘要

出现了两种非相互碰撞的带电旋转-0和未极化的旋转1/2颗粒的库仑相互作用中的所有顺序,对四极辐射的量子机械处理。我们计算四极张量的元素,并为相同和非相同颗粒的双差分光子发射截面呈现分析溶液。在相应的运动限制中,与出生级别和准经典结果进行了接触,并获得了有效的能量损失率。建立了一个通常有效的软光子发射公式,并构建了整个运动学状态的近似公式。该结果适用于Bremsstrahlung的发射,在电子对散射中,因此与天体物理现象的研究相关。提出了gaunt因子的定义,该定义应促进结果的广泛适用性。

The quantum mechanical treatment of quadrupole radiation due to bremsstrahlung exact to all orders in the Coulomb interaction of two non-relativistically colliding charged spin-0 and unpolarized spin-1/2 particles is presented. We calculate the elements of the quadrupole tensor, and present analytical solutions for the double differential photon emission cross section of identical and non-identical particles. Contact is made to Born-level and quasi-classical results in the respective kinematic limits and effective energy loss rates are obtained. A generally valid formula for soft-photon emission is established and an approximate formula across the entire kinematic regime is constructed. The results apply to bremsstrahlung emission in the scattering of pairs of electrons and are hence relevant in the study of astrophysical phenomena. A definition of a Gaunt factor is proposed which should facilitate broad applicability of the results.

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