强偏转极限下的自旋进动
Spin precession in the strong deflection limit
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中文总结 AI 辅助
研究强偏转极限下粒子自旋进动，推导其展开式及系数，建立与偏转角关系，应用于史瓦西和RN时空，得到相关解析系数与修正，验证无质量粒子自旋翻转机制，揭示有质量粒子电荷依赖性差异。
中文摘要 AI 辅助
对于一般球对称时空，偏转角的强偏转极限（SDL）已得到充分确立，但缺乏对自旋进动的系统SDL处理。我们推导了在静态、球对称和渐近平直时空中沿测地线传播的粒子自旋进动角的SDL展开式。获得了SDL系数，并建立了进动角与偏转角的简单关系。将该形式体系应用于史瓦西和雷斯纳 - 诺德斯特龙（RN）时空，得到了前者的完全解析SDL系数和后者到\(\mathcal{O}(Q^2)\)的微扰电荷修正。这些结果明确验证了无质量粒子在反向散射中的普遍自旋翻转，这是导致无荣耀点的潜在机制。虽然无质量粒子的自旋进动与电荷无关，但有质量粒子获得了非平凡的电荷依赖性，这使RN情况与史瓦西情况有所区别。
英文摘要
The strong deflection limit (SDL) of the deflection angle is well established for general spherically symmetric spacetimes, but a systematic SDL treatment of spin precession has been lacking. We derive the SDL expansion for the spin precession angle of particles propagating along geodesics in static, spherically symmetric, and asymptotically flat spacetimes. The SDL coefficients are obtained, and a simple relation linking the precession angle to the deflection one is established. Applying the formalism to Schwarzschild and Reissner-Nordström (RN) spacetimes, we obtain fully analytic SDL coefficients for the former and perturbative charge corrections to $\mathcal{O}(Q^2)$ for the latter. These results explicitly verify the universal spin-flip of massless particles in backward scattering, which is the underlying mechanism governing the absence of the glory spot. While the spin precession of massless particles is charge-independent, massive particles acquire a non-trivial charge dependence that distinguishes the RN case from Schwarzschild.
