角相关相位模糊度与分波分解唯一性之间的联系
A connection between angular dependent phase ambiguities and the uniqueness of the partial wave decomposition
摘要：
在离散能量下从拟合到完整的实验数据集获得的无约束分波振幅可能不会随能量平滑地变化，并且原则上是非唯一的。我们演示了如何这种行为可以归因于连续模糊性。从无自旋散射的情况下，我们演示了如何一个未知的整体相位取决于能量和角度混合的结构中看到的相关的分波振幅使分波分解非唯一的，并说明它在一个简单的玩具模型。然后，我们将这些原则应用到赝标介子光生，并表明，非唯一性效应可以通过相位旋转，允许一致的比较模型振幅。这种相位模糊的影响也被认为是实验观测量的勒让德展开。5页，
英文摘要：
Unconstrained partial-wave amplitudes obtained at discrete energies from fits to complete sets of experimental data may not vary smoothly with energy, and are in principle non-unique. We demonstrate how this behavior can be ascribed to the continuum ambiguity. Starting from the spinless scattering case, we demonstrate how an unknown overall phase depending on energy and angle mixes the structures seen in the associated partial-wave amplitudes making the partial wave decomposition non-unique, and illustrate it on a simple toy model. We then apply these principles to pseudo-scalar meson photoproduction and show that the non-uniqueness effect can be removed through a phase rotation, allowing a consistent comparison with model amplitudes. The effect of this phase ambiguity is also considered for Legendre expansions of experimental observables. 5 pages,
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