拉盖尔-高斯态高能散射的普遍特征
Universal features of high-energy scattering of Laguerre-Gaussian states
AI总结：
研究携带轨道角动量的拉盖尔-高斯波包在非零碰撞参数下的高能散射，揭示由波包形状导致的横向动量依赖的普遍运动学特征。
摘要：
光子、电子及其他粒子的涡旋态是携带固有轨道角动量（OAM）且具有平面波所不具备的其他特征的波包。一旦实验挑战被克服，高能涡旋态的碰撞可能成为核物理和粒子物理的有前景工具。关于涉及涡旋态的散射过程已有大量文献；然而，大多数工作依赖于在实验中难以实现的假设。在这项工作中，我们开始使用在非零碰撞参数$b$下碰撞的傍轴拉盖尔-高斯（LG）波包，对涡旋态散射过程进行系统性的重新分析。由于总末态横向动量$P_\perp$不再固定，我们关注微分截面如何依赖于$P_\perp$。我们强调，非平凡的$P_\perp$依赖特征可以源于LG波包的形状或所关注散射过程的动力学。这里，我们关注前者，并详细探索这些普遍的运动学特征，而过程特定修正及其可能带来的新见解的研究则留给未来工作。有趣的是，非零碰撞参数$b$在许多$P_\perp$依赖效应中起关键作用，使其成为涡旋态的有用探针，而非通常假设的干扰因素。
英文摘要：
Vortex states of photons, electrons, and other particles are wave packets that carry intrinsic orbital angular momentum (OAM) and exhibit other features unavailable for plane waves. Collisions of high-energy vortex states can become a promising tool for nuclear and particle physics, once experimental challenges are overcome. An extensive literature exists on scattering processes involving vortex states; however, most works rely on assumptions that will be challenging to achieve in experiment. In this work, we initiate a systematic re-analysis of vortex-state scattering processes using paraxial Laguerre-Gaussian (LG) wave packets colliding at a non-zero impact parameter $b$. Since the total final transverse momentum $P_\perp$ is no longer fixed, we focus on how the differential cross section depends on $P_\perp$. We emphasize that non-trivial $P_\perp$-dependent features can originate either from the shape of the LG wave packets or from the dynamics of the scattering process under interest. Here, we focus on the former source and explore in detail these universal kinematic features, while the study of process-specific modifications, along with the novel insights they may bring, is delegated to a future work. Interestingly, the non-zero impact parameter $b$ plays a key role in many $P_\perp$-dependent effects, making it a useful probe of vortex states, not a nuisance factor as often assumed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
