Resonant hadronic systems often exhibit a complicated decay pattern in which three-body dynamics play a relevant or even dominant role. In this work we focus on the $a_1(1260)$ resonance. For the first time, the pole position and branching ratios of a three-body resonance are calculated from lattice QCD using one-, two-, and three-meson interpolators and a three-body finite-volume formalism extended to spin and coupled channels. This marks a new milestone for ab initio studies of ordinary resonances along with hybrid and exotic hadrons involving three-body dynamics.

中文翻译：

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来自 Lattice QCD 的 thea1(1260)共振的三体动力学

共振强子系统通常表现出复杂的衰减模式，其中三体动力学发挥相关甚至主导作用。在这项工作中，我们专注于${\mathrm{一种}}_1(1260)$谐振。首次使用单介子、二介子和三介子插值器以及扩展到自旋和耦合通道的三体有限体积形式，从晶格 QCD 计算三体共振的极点位置和分支比。这标志着从头开始研究普通共振以及涉及三体动力学的混合强子和奇异强子的新里程碑。