小x衍射能量流实公共相位扇区中的精确振幅重建

中文摘要 AI 辅助

我们发展了一个算子级框架，用于从能量流测量中重建小-$x$衍射振幅的角结构。聚焦于领先eikonal近似下的相干衍射双喷注产生，我们建立了偶极振幅的角多极矩、胶子Wigner分布与衍射散射振幅之间的关系，同时明确保留它们各自不同的径向变换。我们证明，在实公共相位扇区且远离衍射零点时，归一化散射振幅可以直接从归一化能量流分布的平方根重建，仅差一个全局符号约定。对于一般的复振幅，测量到的强度反而决定了振幅谱的自相关，且在没有额外信息时相位恢复不唯一。我们进一步讨论了由谐波依赖相位引起的修正、EIC提取的实际条件，以及超越领先eikonal近似的影响。

英文摘要

We develop an operator-level framework for reconstructing the angular structure of small-$x$ diffractive amplitudes from energy-flow measurements. Focusing on coherent diffractive dijet production in the leading-eikonal approximation, we establish the relation between the angular multipoles of the dipole amplitude, the gluon Wigner distribution, and the diffractive scattering amplitude, while keeping their distinct radial transforms explicit. We show that, in the real common-phase sector and away from diffractive zeros, the normalized scattering amplitude can be reconstructed directly, up to a global sign convention, from the square root of the normalized energy-flow distribution. For generic complex amplitudes, the measured intensity instead determines autocorrelations of the amplitude spectrum and phase retrieval is not unique without additional information. We further discuss corrections arising from harmonic-dependent phases, practical conditions for an EIC extraction, and effects beyond the leading-eikonal approximation.

发表机构

• Aligarh Muslim University（阿利加尔穆斯林大学）

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