标题： 三体散射振幅中单粒子交换的分波投影 显示英文标题

标题： Partial-wave projection of the one-particle exchange in three-body scattering amplitudes

摘要： 随着从格点QCD研究三介子物理的成熟，有必要开发适当的分析工具，以可靠地研究各种现象，包括共振谱学和核结构。 重构三粒子散射振幅需要求解积分方程，这些方程可以用数据约束的动力学函数和物理实轴量来表示。 这些方程中的驱动项是所谓的单粒子交换，这会导致在实轴上的粒子出现运动学发散。 在定义具有确定宇称和总角动量的三粒子振幅时，这是在谱学研究中使用的重要组成部分，即需要将单粒子交换投影到确定的部分波中。 我们提出了一种通用的方法，以构建任何由三个无自旋介子组成的系统中单粒子交换贡献的精确解析部分波投影。 我们的结果允许对投影的解析结构进行全面控制，我们对此进行了研究，并应用于三个π介子的一些低能部分波。 显示英文摘要

摘要： As the study of three-hadron physics from lattice QCD matures, it is necessary to develop proper analysis tools in order to reliably study a variety of phenomena, including resonance spectroscopy and nuclear structure. Reconstructing the three-particle scattering amplitude requires solving integral equations, which can be written in terms of data-constrained dynamical functions and physical on-shell quantities. The driving term in these equations is the so-called one-particle exchange, which leads to a kinematic divergence for particles on-mass-shell. A vital component in defining three-particle amplitudes with definite parity and total angular momentum, which are used in spectroscopic studies, is to project the one-particle exchange into definite partial waves. We present a general procedure to construct exact analytic partial wave projections of the one-particle exchange contribution for any system composed of three spinless hadrons. Our result allows one full control over the analytic structure of the projection, which we explore for some low-lying partial waves with applications to three pions.