标题： 格点量子色动力学与共振的三粒子衰变 显示英文标题

标题： Lattice QCD and Three-particle Decays of Resonances

摘要： 大多数强相互作用共振态的衰变道涉及三个或更多粒子，其中包括许多最近发现的$X$、$Y$和$Z$共振态。为了利用格点QCD从头研究这类共振态，人们必须理解计算中使用的立方盒子内三个粒子的有限体积效应。我们回顾了开发与无限体积散射振幅相关的有限体积能量的三粒子量子化条件的努力。我们详细描述了已采用的三种方法，并展示了对应结果之间的新关系。我们给出了所有三种方法的数值实现示例，并指出了仍需解决的重要问题。 显示英文摘要

摘要： Most strong-interaction resonances have decay channels involving three or more particles, including many of the recently discovered $X$, $Y$ and $Z$ resonances. In order to study such resonances from first principles using lattice QCD, one must understand finite-volume effects for three particles in the cubic box used in calculations. Here we review efforts to develop a three-particle quantization condition that relates finite-volume energies to infinite-volume scattering amplitudes. We describe in detail the three approaches that have been followed, and present new results on the relationship between the corresponding results. We show examples of the numerical implementation of all three approaches and point out the important issues that remain to be resolved.