有限体积中$1+\mathcal{J}\to 2$耦合通道振幅的约束
Constraining $1+\mathcal{J}\to 2$ coupled-channel amplitudes in finite-volume
摘要：
无论是对强子的激发谱还是对粒子物理学的标准模型的测试感兴趣，涉及末态多强子通道的电弱跃迁过程在各种实验中都起着重要的作用。目前研究这类反应的主要理论工具是定义在有限时空体积中的格点量子色动力学。在这项工作中，我们调查的可行性实施现有的有限体积形式主义在现实的格点量子色动力学计算的反应，其中一个稳定的强子可以过渡到几个两个强子通道的作用下的外部电流。我们提供了一个概念描述的耦合通道过渡形式主义，一个实际的路线图进行计算，并说明了使用合成数据的方法，两个非平凡的共振玩具模型。这些结果提供了一个原理证明，即这种反应确实可以使用现代格点量子色动力学计算来约束，从而在不久的将来激励显式计算。
英文摘要：
Whether one is interested in accessing the excited spectrum of hadrons or testing the standard model of particle physics, electroweak transition processes involving multi-hadron channels in the final state play an important role in a variety of experiments. Presently the primary theoretical tool with which one can study such reactions is lattice QCD, which is defined in a finite spacetime volume. In this work, we investigate the feasibility of implementing existing finite-volume formalism in realistic lattice QCD calculation of reactions in which a stable hadron can transition to one of several two-hadron channels under the action of an external current. We provide a conceptual description of the coupled-channel transition formalism, a practical roadmap for carrying out a calculation, and an illustration of the approach using synthetic data for two non-trivial resonant toy models. The results provide a proof-of-principle that such reactions can indeed be constrained using modern-day lattice QCD calculations, motivating explicit computation in the near future.
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