三涡旋粒子参与的背向康普顿散射
Backward Compton scattering with three vortex particles
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中文总结 AI 辅助
本文研究三涡旋背向康普顿散射，解析推导振幅与截面，数值显示能量-角度关联及拓扑荷效应，为产生高能涡旋粒子提供新途径。
中文摘要 AI 辅助
我们研究了背向康普顿散射，其中入射的涡旋（vx）光子与平面波（pw）电子对头碰撞，并且两个末态粒子都被投影到涡旋态上，即 $\gamma_{\rm vx}+e^-_{\rm pw}\to\gamma_{\rm vx}+e^-_{\rm vx}$。我们解析地推导了散射振幅以及关于任一末态粒子的能量和锥角的微分截面。旋转对称性意味着一个与沿碰撞轴的总角动量守恒相关的选择定则。我们采用贝塞尔-高斯波包作为入射光子的模型，以提供物理归一化并正则化理想贝塞尔态的边界奇异性。我们给出了一个 $10~{\rm MeV}$ 电子与中心能量为 $1~{\rm MeV}$ 或 $10~{\rm keV}$ 的涡旋光子碰撞的数值结果。末态光子分布表现出强烈的能量-角度关联、依赖于拓扑荷的干涉条纹以及其主峰的系统性偏移，从而可以通过角度或能量后选择来增强不同的拓扑荷扇区。对于纵向极化的入射电子，主要通道倾向于产生具有匹配螺旋度的末态光子。对于 $1~{\rm MeV}$ 光子基准，末态电子同样可以被产生为具有可观锥角和较大角动量投影的 MeV 尺度涡旋态。这些结果表明，三涡旋背向康普顿散射为产生和控制高能涡旋光子和电子提供了一种潜在的手段。
英文摘要
We investigate backward Compton scattering in which an incident vortex (vx) photon collides head-on with a plane-wave (pw) electron and both final-state particles are projected onto vortex states, $γ_{\rm vx}+e^-_{\rm pw}\toγ_{\rm vx}+e^-_{\rm vx}$. We derive analytically the scattering amplitude and differential cross sections in the energy and cone angle of either final particle. Rotational symmetry implies a selection rule associated with the conservation of the total angular momentum along the collision axis. A Bessel-Gaussian wave packet is adopted for the incident photon to provide a physical normalization and regularize the boundary singularities of ideal Bessel states. We present numerical results for a $10~{\rm MeV}$ electron colliding with a vortex photon of central energy $1~{\rm MeV}$ or $10~{\rm keV}$. The final-photon distributions exhibit strong energy--angle correlations, topological-charge-dependent interference fringes, and systematic shifts of their dominant peaks, allowing different topological charge sectors to be enhanced through angular or energy post-selection. For a longitudinally polarized incident electron, the dominant channels favor final photons of matching helicity. For the $1~{\rm MeV}$ photon benchmark, the final electron can likewise be produced as a MeV-scale vortex state with a sizable cone angle and a large angular-momentum projection. These results demonstrate that triple-vortex backward Compton scattering offers a potential means of generating and controlling high-energy vortex photons and electrons.
发表机构
- South China Normal University（华南师范大学）
- State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University（核物理与技术国家重点实验室，量子物质研究所，华南师范大学）
- Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science（广东省物质结构与基本相互作用基础研究卓越中心，广东省核科学重点实验室）
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